1
NDA 2018 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
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?
A
300$$^\circ$$
B
315$$^\circ$$
C
330$$^\circ$$
D
345$$^\circ$$
2
NDA 2018 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
What is/are the solution(s) of the trigonometric equation $$\cos ec\,x + \cos x = \sqrt 3 $$ where 0 < x < 2$$\pi$$ ?
A
$${{5\pi } \over 3}$$ only
B
$${{\pi } \over 3}$$ only
C
$$\pi$$ only
D
$$\pi$$, $${{\pi } \over 3}$$, $${{5\pi } \over 3}$$
3
NDA 2018 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
If $$\theta = {\pi \over 8}$$, then what is the value of $${(2\cos \theta + 1)^{10}}{(2\cos 2\theta - 1)^{10}}{(2\cos \theta - 1)^{10}}{(2\cos 4\theta - 1)^{10}}$$ ?
A
0
B
1
C
2
D
4
4
NDA 2018 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
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 $$\beta$$ ?
A
$$ - {4 \over 3}$$
B
$$ {4 \over 3}$$
C
$$ {3 \over 4}$$
D
$$ -{3 \over 4}$$
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