TS EAMCET 2020 (Online) 14th September Morning Shift | Trigonometric Ratios & Identities Question 81 | Mathematics

$\theta$ and $\alpha$ lie in $Q_3$. If $\cos (\theta-\alpha), \cos \theta, \cos (\theta+\alpha)$ are in harmonic progression, then $\cos \theta \sec \frac{\alpha}{2}=$

$-\sqrt{2}$

$\sqrt{2}$

$-\sqrt{3}$

$\sqrt{3}$

TS EAMCET 2020 (Online) 14th September Morning Shift

MCQ (Single Correct Answer)

-0

The ratio of the maximum and minimum values attained by the function $f(x)=1+2 \sin x+3 \cos ^2 x, 0 \leq x \leq \frac{2 \pi}{3}$ is

$3: 1$

$13: 9$

$9: 4$

$8: 13$

TS EAMCET 2020 (Online) 11th September Evening Shift

MCQ (Single Correct Answer)

-0

$$ \text { Match the items of List-I with those of List-II } $$

$$ \text { List-I } $$		$$ \text { List-II } $$
A.	$$ \text { If } A=\left[\begin{array}{ccc} \cos ^2 37^{\circ} & \cos ^2 53^{\circ} & \cot 135^{\circ} \\ \sin ^2 76^{\circ} & \sin 270^{\circ} & \sin ^2 14^{\circ} \\ \cos 180^{\circ} & \cos ^2 28^{\circ} & \cos ^2 62^{\circ} \end{array}\right] \text {, then } 3-\|A\|= $$	I.	-4
B.	If the period of $\frac{\cos (6 x-4)-\sec (3-4 x)}{\cot (5 x+3)+\sin (3 x+4)}$ is $\frac{2 k \pi}{5}$, then $k=$	II.	2
C.	$$ \text { The maximum value of } \cos ^2\left(\frac{\pi}{4}-x\right)+(\sin x-\cos x)^2 \text { is } $$	III.	3
D.	$$ \text { If } x+y+z=0^{\circ}, \text { then } \frac{\sin 2 x+\sin 2 y+\sin 2 z}{\sin (-x) \sin (-y) \sin (-z)} $$	IV.	4
		V.	5

$$ \text { The correct match is } $$

A	B	C	D
III	V	II	IV

A	B	C	D
III	I	II	IV

A	B	C	D
I	III	IV	V

A	B	C	D
II	I	III	V

TS EAMCET 2020 (Online) 11th September Evening Shift

MCQ (Single Correct Answer)

-0

The period of $\cos (3 x+5)+7$ is

$\frac{2 \pi}{5}$

$\frac{2 \pi}{3}$

$\frac{2 \pi}{15}$

$\frac{2 \pi}{7}$

PREVIOUS NEXT

TS EAMCET Subjects

Browse all chapters by subject