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Question

What is value of cosAcos(90°-A)-sinAsin(90°-A)?

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Solution

Dear Student,
Identities used-
sin (90 - A) = cos A
cos (90 - A) = sin A
sin A.sin (90 - A) - cos A.cos (90 - A)
= sin A.cos A - cos A.sin A = 0
Hence, proved.

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