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damaskus [11]
2 years ago
12

Prove the following identities. cos(3pi/s+x)=sinx

Mathematics
1 answer:
kari74 [83]2 years ago
3 0

\cos \left(\frac{3\pi}{2}-x \right)=\sin x \\ \\ =\cos \left(\frac{3\pi}{2} \right)\cos x -\sin \left(\frac{3\pi}{2} \right) \sin x \\ \\ =0\cos x -(-1)(\sin x) \\ \\ =\sin x

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By definition, equivalent expression have the same value.

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