TS EAMCET 2020 (Online) 11th September Evening Shift | Trigonometric Ratios & Identities Question 83 | Mathematics

$$ \text { List-I } $$		$$ \text { List-II } $$
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

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

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

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

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

TS EAMCET 2020 (Online) 11th September Evening Shift

MCQ (Single Correct Answer)

-0

If $\cos \left(\frac{\alpha-\beta}{2}\right)=2 \cos \left(\frac{\alpha+\beta}{2}\right)$, then $\tan \frac{\alpha}{2} \tan \frac{\beta}{2}=$

$\frac{1}{2}$

$\frac{1}{4}$

$\frac{1}{3}$

$\frac{1}{8}$

TS EAMCET 2020 (Online) 11th September Morning Shift

MCQ (Single Correct Answer)

-0

For some $a, b, c \in \mathbf{R}$, if $\sin 5 \theta=a \cos ^4 \theta \sin \theta+b \cos ^2 \theta \sin ^3 \theta+c \sin ^5 \theta$, then $a b c=$

-10

-50

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