Categories > trigonometry > Fundamental trigonometrical ratios and functions > 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

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Question: 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


1) $x=0$
2) $y=0$
3) $x=y$
4) $x=n\pi -\frac{\pi }{4}+y,\,\,(n\in I)$
Solution: Explanation: No Solution
Fundamental trigonometrical ratios and functions Trigonometrical ratio of allied angles

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