JEE MATHEMATICS MCQ: TRIGONOMETRY RATIOS

1 Easy

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Analyzing +4 | -1

15{\sin ^4}\alpha + 10{\cos ^4}\alpha = 6

, for some

\alpha \in R

, then the value of

27{\sec ^6}\alpha + 8\mathrm{cose}{\mathrm{c}^6}\alpha

is equal to

View answer and explanation

Correct option: D

250

Option D (250) is correct because by using the given trigonometric equation to find tan²α and cot²α, we can calculate the value of the expression.

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\tan \alpha=\frac{p}{q}

\alpha=6 \beta

\alpha

\frac{1}{2}[p \operatorname{cosec} 2 \beta-q \sec 2 \beta]

\cos 12^{\circ}+\cos 84^{\circ}+\cos 156^{\circ}+\cos 132^{\circ}

\triangle A B C

C

{\sin ^6}\,\,\theta + {\cos ^6}\,\,\theta + 3{\sin ^2}\,\,\theta \,\,{\cos ^2}\,\,\theta

\sin ^2 \frac{A}{2}+\sin ^2 \frac{B}{2}+\sin ^2 \frac{C}{2}=

\sin ^2(A / 2)+\sin ^2(B / 2)-\sin ^2(C / 2)=