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Trigonometric Ratio and Identites question

2019 · 9 Jan · Shift 1 · Q25

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JEE Main
Mathematics
Trigonometric Ratio and Identites
2019 · 9 Jan · Shift 1 · Q25

Trigonometric Ratio and Identites question

2019 · 9 Jan · Shift 1 · Q25

JEE MainMathematicsTrigonometric Ratio and IdentitesMCQ+4 / −1

For any

\theta \in \left( {{\pi \over 4},{\pi \over 2}} \right)

, the expression

3{(\cos \theta - \sin \theta )^4}

+ 6{(\sin \theta + \cos \theta )^2} + 4{\sin ^6}\theta

equals :

A
13 – 4 cos2 $\theta$ + 6sin2 $\theta$ cos2 $\theta$
B
13 – 4 cos6 $\theta$
C
13 – 4 cos2 $\theta$ + 6cos2 $\theta$
D
13 – 4 cos4 $\theta$ + 2sin2 $\theta$ cos2 $\theta$

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