Trigonometric Ratios And Identities

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

.tg {border-collapse:collapse;border-spacing:0;}

.tg td{border-color:black;border-style:solid;border-width:1px;font-family:Arial, sans-serif;font-size:14px;

overflow:hidden;padding:10px 5px;word-break:normal;}

.tg th{border-color:black;border-style:solid;border-width:1px;font-family:Arial, sans-serif;font-size:14px;

font-weight:normal;overflow:hidden;padding:10px 5px;word-break:normal;}

.tg .tg-baqh{text-align:center;vertical-align:top}

.tg .tg-c3ow{border-color:inherit;text-align:center;vertical-align:top}

\( \text { List-I } \)		\( \text { List-II } \)
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

\(\text { The correct match is }\)