Q6 of 36 Page 1

If sin-1 x + sin-1 y = , then the value of cos-1 x + cos-1 y is

Given: sin-1 x + sin-1 y =


To Find: Value of cos-1 x + cos-1 y


We know that sin-1 x + cos-1 x =


⇒ cos-1 x = – sin-1 x


Similarly, sin-1 y + cos-1 y =


⇒ cos-1 y = – sin-1 y


So, cos-1 x + cos-1 y = – sin-1 x + – sin-1 y


⇒ cos-1 x + cos-1 y = - (sin-1 x + sin-1 y)


⇒ cos-1 x + cos-1 y = - = .

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