JEE MATHEMATICS MCQ: TRIGONOMETRY RATIOS

1 Easy

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Analyzing +4 | -1

For any

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

the expression

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

equals

View answer and explanation

Correct option: D

13 - 4\,{\cos ^6}\theta

Option D (13 - 4cos⁶(θ)) is correct because after simplification using trigonometric identities, the expression reduces to this form.

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C

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