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If cos a + cos b = 0 = sin a + sin b then cos 2a + cos 2b =

Given, cos A + cos B = 0  ...(1)

 and sin A + sin B = 0  ...(2)

Squaring and subtracting (2) from (1), we get


Thus, cos2A + cos 2B = –2 cos (A + B)


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