Trigonometric Angles and Equations · Mathematics · NDA

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MCQ (Single Correct Answer)

1
The value of $${\sin ^2}5^\circ + {\sin ^2}10^\circ + {\sin ^2}15^\circ + {\sin ^2}20^\circ + .... + {\sin ^2}90^\circ $$ is
NDA 2015 Paper 2
2
On simplifying $${{{{\sin }^3}A + \sin 3A} \over {\sin A}} + {{{{\cos }^3}A - \cos 3A} \over {\cos A}}$$ we get
NDA 2015 Paper 2
3
If $$\sin x + \sin y = a$$ and $$\cos x + \cos y = b$$, then $${\tan ^2}\left( {{{x + y} \over 2}} \right) + {\tan ^2}\left( {{{x - y} \over 2}} \right)$$ is equal to
NDA 2015 Paper 2
4
If $$p = \tan \left( { - {{11\pi } \over 6}} \right)$$, $$q = \tan \left( {{{21\pi } \over 4}} \right)$$ and $$r = \cot \left( {{{283\pi } \over 6}} \right)$$, then which of the following is/are correct?

1. The value of p $$\times$$ r is 2.

2. p, q and r are in GP.

Select the correct answer using the code given below.
NDA 2015 Paper 2
5
$$\sin A + 2\sin 2A + \sin 3A$$ is equal to which of the following?

I. $$4\sin 2A{\cos ^2}\left( {{A \over 2}} \right)$$

II. $$2\sin 2A{\left( {\sin {A \over 2} + \cos {A \over 2}} \right)^2}$$

III. $$8\sin A\cos A{\cos ^2}\left( {{A \over 2}} \right)$$

Select the correct answer using the code given below.
NDA 2016 Paper 2
6
If $$x = \sin 70^\circ \sin 50^\circ $$ and $$y = \cos 60^\circ \cos 80^\circ $$, then what is xy equal to?
NDA 2016 Paper 2
7
If $$\sin {\theta _1} + \sin {\theta _2} + \sin {\theta _3} + \sin {\theta _4} = 4$$, then what is the value of $$\cos {\theta _1} + \cos {\theta _2} + \cos {\theta _3} + \cos {\theta _4}$$ ?
NDA 2016 Paper 2
8
What is the value of $$\left( {1 + \cos {\pi \over 8}} \right)\left( {1 + \cos {{3\pi } \over 8}} \right)\left( {1 + \cos {{5\pi } \over 8}} \right)\left( {1 + \cos {{7\pi } \over 8}} \right)$$ ?
NDA 2016 Paper 2
9
If $$x\cos \theta + y\sin \theta = z$$, then what is the value of $${(x\sin \theta - y\cos \theta )^2}$$ ?
NDA 2016 Paper 2
10
If $$\sin 18^\circ = {{\sqrt 5 - 1} \over 4}$$, then what is the value of sin81$$^\circ$$ ?
NDA 2016 Paper 2
11
What is $${{1 - \tan 2^\circ \cot 62^\circ } \over {\tan 152^\circ - \cot 88^\circ }}$$ equal to?
NDA 2016 Paper 2
12
What is the maximum value of the function $$f(\theta )$$ ?
NDA 2016 Paper 1
13
What is the minimum value of the function f($$\theta$$) ?
NDA 2016 Paper 1
14
Consider the following statements

1. $$f(\theta ) = 2$$ has no solution.

2. $$f(\theta ) = {7 \over 2}$$ has a solution.

Which of the above statement(s) is/are correct?
NDA 2016 Paper 1
15
What is the value of $$\sin {A \over 2}\sin {B \over 2}\sin {C \over 2}$$ ?
NDA 2016 Paper 1
16
What is the value of $$\cos \left( {{{A + B} \over 2}} \right)\cos \left( {{{B + C} \over 2}} \right)\cos \left( {{{C + A} \over 2}} \right)$$ ?
NDA 2016 Paper 1
17
What is tan ($$\alpha$$ + $$\beta$$) equal to?
NDA 2016 Paper 1
18
What is $$\sin (\alpha + \beta )sec\alpha sec\beta $$ equal to?
NDA 2016 Paper 1
19
If the equation possesses solution, then what is the minimum value of k?
NDA 2016 Paper 1
20
If the equation possesses solution, then what is the maximum value of k?
NDA 2016 Paper 1
21
Consider the following statements

1. If ABC is an equilateral triangle, then $$3\tan (A + B)\tan C = 1$$.

2. If ABC is a triangle in which A = 78$$^\circ$$, B = 66$$^\circ$$, then $$\tan \left( {{A \over 2} + C} \right) < \tan A$$

3. If ABC is any triangle, then $$\tan \left( {{{A + B} \over 2}} \right)\sin \left( {{C \over 2}} \right) < \cos \left( {{C \over 2}} \right)$$

Which of the above statements is/are correct?
NDA 2016 Paper 1
22
If $$A = (\cos 12^\circ - \cos 36^\circ )(\sin 96^\circ + \sin 24^\circ )$$ and $$B = (\sin 60^\circ - \sin 12^\circ )(\cos 48^\circ - \cos 72^\circ )$$, then what is $${A \over B}$$ equal to?
NDA 2016 Paper 1
23
The value of $$\tan 9^\circ - \tan 27^\circ - \tan 63^\circ + \tan 81^\circ $$ is equal to
NDA 2017 Paper 2
24
The value of $$\sqrt 3 \cos ec20^\circ - \sec 20^\circ $$ is equal to
NDA 2017 Paper 2
25
Angle $$\alpha$$ is divided into two parts A and B such that A $$-$$ B = x and tan A : tan B = p : q. The value of sin x is equal to
NDA 2017 Paper 2
26
$$\sqrt {1 + \sin A} = - \left( {\sin {A \over 2} + \cos {A \over 2}} \right)$$ is true, if
NDA 2017 Paper 2
27
In triangle ABC, if $${{{{\sin }^2}A + {{\sin }^2}B + {{\sin }^2}C} \over {{{\cos }^2}A + {{\cos }^2}B + {{\cos }^2}C}} = 2$$, then the triangle is
NDA 2017 Paper 2
28
Match List-I with List-II and select the correct answer using the code given below the lists

Image

NDA 2017 Paper 2
29
If $$\sin A = {3 \over 5}$$, where $$450^\circ < A < 540^\circ $$, then $$\cos {A \over 2}$$ is equal to
NDA 2017 Paper 1
30
What is $${1 \over {\sin 10^\circ }} - {{\sqrt 3 } \over {\cos 10^\circ }}$$ equal to?
NDA 2017 Paper 1
31
The maximum value of $$\sin \left( {x + {\pi \over 6}} \right) + \cos \left( {x + {\pi \over 6}} \right)$$ in the interval $$\left( {0,{\pi \over 2}} \right)$$ is attained at
NDA 2017 Paper 1
32
If $$K = \sin \left( {{\pi \over {18}}} \right)\sin \left( {{{5\pi } \over {18}}} \right)\sin \left( {{{7\pi } \over {18}}} \right)$$, then what is the value of K?
NDA 2017 Paper 1
33
The expression $${{\sin \alpha + \sin \beta } \over {\cos \alpha + \cos \beta }}$$ is equal to
NDA 2017 Paper 1
34
If $$\sin \theta = 3\sin (\theta + 2\alpha )$$, then the value of tan ($$\theta$$ + $$\alpha$$) + 2 tan$$\alpha$$ is equal to
NDA 2017 Paper 1
35
What is the value of tan18$$^\circ$$ ?
NDA 2017 Paper 1
36
If $$\tan (\alpha + \beta ) = 2$$ and $$\tan (\alpha - \beta ) = 1$$, then tan(2$$\alpha$$) is equal to
NDA 2017 Paper 1
37
Consider the following for triangle ABC

1. $$\sin \left( {{{B + C} \over 2}} \right) = \cos \left( {{A \over 2}} \right)$$

2. $$\tan \left( {{{B + C} \over 2}} \right) = \cot \left( {{A \over 2}} \right)$$

3. $$\sin (B + C) = \cos A$$

4. $$\tan (B + C) = - \cot A$$

Which of the above are correct?
NDA 2017 Paper 1
38
If $$\sec \theta - \cos ec\theta = {4 \over 3}$$, then what is (sin$$\theta$$ $$-$$ cos$$\theta$$) equal to?
NDA 2017 Paper 1
39
What is the maximum value of the function f(x) = 4sin2 x + 1 ?
NDA 2017 Paper 1
40
What is $${{2\tan \theta } \over {1 + {{\tan }^2}\theta }}$$ equal to?
NDA 2018 Paper 2
41
If $$\sec (\theta - \alpha )$$, $$\sec \theta $$ and $$\sec (\theta + \alpha )$$ are in AP, where cos $$\alpha$$ $$\ne$$ 1, then what is the value of sin2$$\theta$$ + cos$$\alpha$$ ?
NDA 2018 Paper 2
42
If A + B + C = 180$$^\circ$$, then what is $$\sin 2A - \sin 2B - \sin 2C$$ equal to?
NDA 2018 Paper 2
43
A is an angle in the fourth quadrant it satisfies the trigonometric equation $$3{(3 - {\tan ^2}A - \cot A)^2} = 1$$. Which one of the following is a value of A?
NDA 2018 Paper 2
44
What is/are the solution(s) of the trigonometric equation $$\cos ec\,x + \cos x = \sqrt 3 $$ where 0 < x < 2$$\pi$$ ?
NDA 2018 Paper 2
45
If $$\theta = {\pi \over 8}$$, then what is the value of $${(2\cos \theta + 1)^{10}}{(2\cos 2\theta - 1)^{10}}{(2\cos \theta - 1)^{10}}{(2\cos 4\theta - 1)^{10}}$$ ?
NDA 2018 Paper 2
46
If cos $$\alpha$$ and cos $$\beta$$ (0 < $$\alpha$$ < $$\beta$$ < $$\pi$$) are the roots of the quadratic equation 4x2 $$-$$ 3 = 0, then what is the value of sec $$\alpha$$ $$\times$$ sec $$\beta$$ ?
NDA 2018 Paper 2
47
If $$A = {\sin ^2}\theta + {\cos ^4}\theta $$, then for all real $$\theta$$, which one of the following is correct?
NDA 2018 Paper 2
48
What is $${{\sin 5x - \sin 3x} \over {\cos 5x + \cos 3x}}$$ equal to?
NDA 2018 Paper 1
49
What is $$\sin 105^\circ + \cos 105^\circ $$ equal to?
NDA 2018 Paper 1
50
If x, x $$-$$ y and x + y are the angles of a triangle (not an equilateral triangle) such that tan (x $$-$$ y), tan x and tan (x + y) are in GP, then what is x equal to?
NDA 2018 Paper 1
51
ABC is a triangle inscribed in a circle with centre O. Let $$\alpha$$ = $$\angle$$BAC, where 45$$^\circ$$ < $$\alpha$$ < 90$$^\circ$$. Let $$\beta$$ = $$\angle$$BOC. Which one of the following is correct?
NDA 2018 Paper 1
52
If $${{\sin (x + y)} \over {\sin (x - y)}} = {{a + b} \over {a - b}}$$, then what is $${{\tan x} \over {\tan y}}$$ equal to?
NDA 2018 Paper 1
53
If sin$$\alpha$$ + sin$$\beta$$ = 0 = cos$$\alpha$$ + cos$$\beta$$, where 0 < $$\beta$$ < $$\alpha$$ < 2$$\pi$$, then which one of the following is correct?
NDA 2018 Paper 1
54
Suppose cos A is given. If only one value of $$\cos \left( {{A \over 2}} \right)$$ is possible, then A must be
NDA 2018 Paper 1
55
If $$\cos \alpha + \cos \beta + \cos \gamma = 0$$, where $$0 < \alpha \le {\pi \over 2}$$, $$0 < \beta \le {\pi \over 2}$$, $$0 < \gamma \le {\pi \over 2}$$, then what is the value of sin$$\alpha$$ + sin$$\beta$$ + sin$$\gamma$$ ?
NDA 2018 Paper 1
56
The maximum value of $$\sin \left( {x + {\pi \over 5}} \right) + \cos \left( {x + {\pi \over 5}} \right)$$, where $$x \in \left( {0,{\pi \over 2}} \right)$$, is attained at
NDA 2018 Paper 1
57
What is the maximum value of $$16\sin \theta - 12{\sin ^2}\theta $$ ?
NDA 2018 Paper 1
58
What is tan25$$^\circ$$ tan15$$^\circ$$ + tan15$$^\circ$$ tan50$$^\circ$$ + tan25$$^\circ$$ tan50$$^\circ$$ equal to?
NDA 2019 Paper 2
59
What is $$\cot A + \cos ecA$$ equal to?
NDA 2019 Paper 2
60
What is $$\cot \left( {{A \over 2}} \right)$$ $$-$$ $$\tan \left( {{A \over 2}} \right)$$ equal to?
NDA 2019 Paper 2
61
If angle C of a triangle ABC is a right angle, then what is tan A + tan B equal to?
NDA 2019 Paper 2
62
What is $$\cos 80^\circ + \cos 40^\circ - \cos 20^\circ $$ equal to?
NDA 2019 Paper 2
63
If $$2\tan A = 3\tan B = 1$$, then what is $$\tan (A - B)$$ equal to?
NDA 2019 Paper 2
64
If $$\tan A - \tan B = x$$ and $$\cot B - \cot A = y$$, then what is the value of $$\cot (A - B)$$ ?
NDA 2019 Paper 2
65
What is the minimum value of $${{{a^2}} \over {{{\cos }^2}x}} + {{{b^2}} \over {{{\sin }^2}x}}$$ where a > 0 and b > 0 ?
NDA 2019 Paper 2
66
What is $$\sin (\alpha + \beta ) - 2sin\alpha cos\beta + sin(\alpha - \beta )$$ equal to?
NDA 2019 Paper 2
67
If $$\cos ec\theta = {{29} \over {21}}$$, where 0 < $$\theta$$ < 90$$^\circ$$, then what is the value of 4 sec$$\theta$$ + 4 tan$$\theta$$ ?
NDA 2019 Paper 2
68
Consider the following statements

1. cos $$\theta$$ + sec $$\theta$$ can never be equal to 1.5 .

2. tan $$\theta$$ + cot $$\theta$$ can never be less than 2 .

Which of the above statements is/are correct?
NDA 2019 Paper 2
69
What is the length of the chord of a unit circle which subtends an angle $$\theta$$ at the centre?
NDA 2019 Paper 2
70
What is the least value of $$25\cos e{c^2}x + 36{\sec ^2}x$$ ?
NDA 2019 Paper 1
71
What is the value of $${{\sin 34^\circ \cos 236^\circ - \sin 56^\circ \sin 124^\circ } \over {\cos 28^\circ \cos 88^\circ + \cos 178^\circ \sin 208^\circ }}$$ ?
NDA 2019 Paper 1
72
tan54$$^\circ$$ can be expressed as
NDA 2019 Paper 1
73
What is the value of $$\theta$$ ?
NDA 2019 Paper 1
74
What is the value of A?
NDA 2019 Paper 1
75
What is the value of B?
NDA 2019 Paper 1
76
What is $$\cos (\alpha - \beta )$$ equal to?
NDA 2019 Paper 1
77
What is $${\sin ^2}(\alpha - \beta ) + 2ab\cos (\alpha - \beta )$$ equal to?
NDA 2019 Paper 1
78
If $$\sin \alpha + \cos \alpha = p$$, then what is $${\cos ^2}(2\alpha )$$ equal to?
NDA 2019 Paper 1
79
If $$\tan \theta = {1 \over 2}$$ and $$\tan \phi = {1 \over 3}$$, then what is the value of $$(\theta + \phi )$$ ?
NDA 2019 Paper 1
80
If $$\cos A = {3 \over 4}$$, then what is the value of $$\sin \left( {{A \over 2}} \right)\sin \left( {{{3A} \over 2}} \right)$$ ?
NDA 2019 Paper 1
81
What is the value of $$\tan 75^\circ + \cot 75^\circ $$ ?
NDA 2019 Paper 1
82
What is the value of $$\cos 46^\circ \cos 47^\circ \cos 48^\circ \cos 49^\circ \cos 50^\circ .......\cos 135^\circ $$ ?
NDA 2019 Paper 1
83
If $$\sin 2\theta = \cos 3\theta $$, where $$0 < \theta < {\pi \over 2}$$, then what is sin$$\theta$$ equal to?
NDA 2019 Paper 1
84
If the roots of the equation $${x^2} + px + q = 0$$ are tan 19$$^\circ$$ and tan 26$$^\circ$$, then which one of the following is correct?
NDA 2019 Paper 1
85
What is $${(1 + \tan \alpha \tan \beta )^2} + {(\tan \alpha - \tan \beta )^2} - {\sec ^2}\beta {\sec ^2}\beta $$ equal to?
NDA 2019 Paper 1
86
If $$\sin \theta + \cos \theta = \sqrt 2 \cos \theta $$, then what is $$(\cos \theta - \sin \theta )$$ equal to?
NDA 2019 Paper 1
87
If $$\sin \theta = - {1 \over 2}$$ and $$\tan \theta = {1 \over {\sqrt 3 }}$$, then in which quadrant does $$\theta$$ lie?
NDA 2019 Paper 1
88
If $$p = \cos ec\theta - \cot \theta $$ and $$q = {(\cos ec\theta + \cot \theta )^{ - 1}}$$, then which one of the following is correct?
NDA 2019 Paper 1
89
$$ \text { What is } \frac{\sqrt{3} \cos 10^{\circ}-\sin 10^{\circ}}{\sin 25^{\circ} \cos 25^{\circ}} \text { equal to ? } $$
NDA Mathematics 21 April 2024
90

What is $\sin 9^\circ - \cos 9^\circ$ equal to?

NDA Mathematics 21 April 2024
91

What is the number of solutions of $(\sin \theta - \cos \theta)^2 = 2$ where $-\pi < \theta < \pi$?

NDA Mathematics 21 April 2024
92

What is the value of $\sin10^{\circ} \cdot \sin50^{\circ} + \sin50^{\circ} \cdot \sin250^{\circ} + \sin250^{\circ} \cdot \sin10^{\circ}$ equal to?

NDA Mathematics 21 April 2024
93

If $f(\theta)=\frac{1}{1+\tan \theta}$ and $\alpha+\beta=\frac{5\pi}{4}$, then what is the value of $f(\alpha) f(\beta)$?

NDA Mathematics 21 April 2024
94

If $\tan \alpha$ and $\tan \beta$ are the roots of the equation $x^2-6x+8=0$, then what is the value of $\cos(2 \alpha+2 \beta)$?

NDA Mathematics 21 April 2024
95

What is the value of $\tan 65^\circ +2 \tan 45^\circ-2 \tan 40^\circ-\tan 25^\circ$?

NDA Mathematics 21 April 2024
96
If tan (π cos θ) = cot (π sin θ), $0<\theta<\frac{\pi}{2}$; then what is the value of $8 \sin ^2\left(\theta+\frac{\pi}{4}\right)$ ?
NDA Mathematics 3 September 2023
97
If $\tan \alpha=\frac{1}{7}$, $\sin \beta=\frac{1}{\sqrt{10}}$; $0<\alpha, \beta<\frac{\pi}{2}$, then what is the value of cos (α + 2β) ?
NDA Mathematics 3 September 2023
98
What is the period of the function?
NDA Mathematics 3 September 2023
99
What is the value of p + q?
NDA Mathematics 3 September 2023
100
What is the value of pq?
NDA Mathematics 3 September 2023
101
What is pq equal to ?
NDA Mathematics 3 September 2023
102
For how many values of x does $\frac{1}{p}$ become zero?
NDA Mathematics 3 September 2023
103
What is a value of sin 3x + sin 3y?
NDA Mathematics 3 September 2023
104
What is a value of cos3 x + cos3 y?
NDA Mathematics 3 September 2023
105
What is cos 2β equal to ?
NDA Mathematics 16 April 2023
106
What is the value of sec2γ?
NDA Mathematics 16 April 2023
107
What is the minimum value of x ?
NDA Mathematics 16 April 2023
108
At what value of A does x attain the minimum value ?
NDA Mathematics 16 April 2023
109
The given equation can be reduced to 
NDA Mathematics 16 April 2023
110
If sin2x = a - b√c, where a and b are natural numbers and c is prime number, then what is the value of a - b + 2c ? 
NDA Mathematics 16 April 2023
111
What is the least value of m(θ) ?
NDA Mathematics 16 April 2023
112
Under what condition does m attain the least value ? 
NDA Mathematics 16 April 2023
113
If f(x) = x(4x2 - 3), then what is f(sinθ) equal to ?  
NDA Mathematics 16 April 2023
114
What is the value of cosec$\left(−\frac{73 \pi}{3}\right)$ ?
NDA Mathematics 4 September 2022
115
What is the value of $\cos \left(\frac{5 \pi}{17}\right)+\cos \left(\frac{7 \pi}{17}\right)+2 \cos \left(\frac{11 \pi}{17}\right) \cos \left(\frac{\pi}{17}\right)$ ?
NDA Mathematics 4 September 2022
116
What is the value of tan$\left(\frac{3\pi}{8}\right)$ ?
NDA Mathematics 4 September 2022
117
What is cos 36° − cos 72° equal to ?
NDA Mathematics 4 September 2022
118
If sec x = $\frac{25}{24}$ and x lies in the fourth quadrant, then what is the value of tan x + sin x ?
NDA Mathematics 4 September 2022
119
What is the value of tan2 165° + cot2 165° ?
NDA Mathematics 4 September 2022
120
What is the value of $\sin\left(2\text{n}\pi+\frac{5\pi}{6}\right)\sin\left(2\text{n}\pi−\frac{5\pi}{6}\right)$ where n ∈ Z ?
NDA Mathematics 4 September 2022
121
If 1 + 2(sin x + cos x)(sin x − cos x) = 0 where 0 < x < 360°, then how many values does x take ?
NDA Mathematics 4 September 2022
122
What is the maximum value of 3(sin x − cos x) + 4(cos3 x − sin3 x) ?
NDA Mathematics 4 September 2022
123
If f(α) = $\sqrt{\sec^2\alpha−1}$, then what is $\frac{f(\alpha)+f(\beta)}{1−f(\alpha) f(\beta)}$ equal to ?
NDA Mathematics 4 September 2022
124
What is value of cot2 15° + tan2 15° ?
NDA Mathematics 10 April 2022
125
In a triangle ABC, sin A - cos B - cos C = 0. What is angle B equal to?
NDA Mathematics 10 April 2022
126
If $α + β = \frac{\pi}{4}$ and 2tan α = 1, then what is tan 2β equal to?
NDA Mathematics 10 April 2022
127
If tan (45° + θ) = 1 + sin 2θ, where $-\frac{\pi}{4}< θ <\frac{\pi}{4},$ then what is the value of cos 2θ?
NDA Mathematics 10 April 2022
128
Let sin 2θ = cos 3θ, where θ is acute angle. What is the value of 1 + 4 sin θ? (given that $\sin 18^\circ =\frac{\sqrt 5 - 1}{4}$)
NDA Mathematics 10 April 2022
129
If $\tan θ = - \frac{5}{12},$ then what can be the value of sin θ?
NDA Mathematics 10 April 2022
130
What is the value of $\cos^4\frac{7\pi}{8}+\cos^4\frac{5\pi}{8}?$
NDA Mathematics 10 April 2022
131
What is $\sin^2\left(\frac{\pi}{4}+\theta\right)-\sin^2\left(\frac{\pi}{4}-\theta\right)$ equal to?
NDA Mathematics 10 April 2022
132
If tan α + tan β = 1 - tan α.tan β, where tan α tan β ≠ 1, then which of the following is one of the values of (α + β) ?
NDA Mathematics 10 April 2022
133
If (1 + tan θ) (1 + tan 9θ) = 2, then what is the value of tan(10θ)?
NDA Mathematics 10 April 2022
134
What is the value of sin 0° + sin 10° + sin 20° + sin 30° + ⋯ + sin 360°?
NDA Mathematics 10 April 2022
135
What is the maximum value of the functions $f(x) = \frac{1}{\tan x+\cot x},$ where $0 < x < \frac{\pi}{2}?$
NDA Mathematics 10 April 2022
136
If $\tan A=\dfrac{1}{7}$, then what is cos 2A equal to?
NDA Mathematics 18 April 2021
137
If $\rm tan\:x=-\dfrac{3}{4}$ and x is in the second quadrant, then what is the value of sin x ⋅ cos x?
NDA Mathematics 18 April 2021
138

What is the value of the following?

$\rm cosec\left(\dfrac{7\pi}{6}\right)sec\left(\dfrac{5\pi}{3}\right)$

NDA Mathematics 18 April 2021
139

What is the value of the following?

tan 31° tan 33° tan 35° _ _ _ _ _ tan 57° tan 59°

NDA Mathematics 18 April 2021
140

What is the value of the following?

(sin 24° + cos 66°)(sin 24° - cos 66°)

NDA Mathematics 18 April 2021
141

What is (1 + cot θ - cosec θ)(1 + tan θ + sec θ) equal to?

NDA Mathematics 18 April 2021
142

What is $\rm \frac{1+tan^2\theta}{1+cot^2\theta}-\left(\frac{1-tan\theta}{1-cot\theta}\right)^2$equal to?

 

NDA Mathematics 18 April 2021
143
If 7 sinθ + 24 cosθ = 25, then what is the value of (sin θ + cos θ)?
NDA Mathematics 18 April 2021
144
If 3cosθ = 4sinθ, then what is the value of tan (45° + θ)?
NDA Mathematics 18 April 2021
145
The number of integer values of k, for which the equation 2sinx = 2k + 1 has a solution, is
NDA Mathematics 18 April 2021
146

What is cot 2x cot 4x - cot 4x cot 6x - cot 6x cot 2x equal to

NDA Mathematics 18 April 2021
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