JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

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Analyzing +4 | -1

The value of

\cos y \cos \left(\frac{\pi}{2}-x\right)-\cos \left(\frac{\pi}{2}-y\right) \cos x

+\sin y \cos \left(\frac{\pi}{2}-x\right)+\cos x \sin \left(\frac{\pi}{2}-y\right)

is zero, if

View answer and explanation

Correct option: D

x=n \pi-\frac{\pi}{4}+y

Option D (

x=n \pi-\frac{\pi}{4}+y

) is correct because it is derived from simplifying the trigonometric expression and solving for x in terms of y.

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