JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

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Analyzing +4 | -1

\sin \,\,\left( {\pi \,\,\cos \,\,\theta } \right) = \cos \,\,\left( {\pi \,\,\sin \,\,\theta } \right)

then which of the following is correct ?

View answer and explanation

Correct option: C

\cos \,\,\left( {\theta - \frac{\pi }{4}} \right) = \frac{1}{{2\,\sqrt 2 }}

Option C (

\cos \left( {\theta - \frac{\pi }{4}} \right) = \frac{1}{{2\sqrt 2 }}

) is correct because it is derived by using trigonometric identities to simplify the given equation.

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\mathrm{X}

\theta \rightarrow \frac{\pi}{2}

\sin x+\cos x=\frac{\sqrt{7}}{2}

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0 < x < \pi

\cos x+\sin x=\frac{1}{2}

\tan x