JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

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Analyzing +4 | -1

\sin \,\,6\theta = 32\,\,{\cos ^5}\,\,\theta \,\,\sin \,\,\theta - 32\,\,{\cos ^3}\theta \,\,\sin \,\,\theta + 3x

, then

x

is equal to

View answer and explanation

Correct option: D

\sin \,\,2\theta

Option D (

\sin \,2\theta

) is correct because by using the triple angle formula for sine and simplifying, we find that

x = \sin \,2\theta

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