Q14 of 26 Page 1

If sin [cot-1 (x + 1)] = cos (tan-1 x), then find x.

OR


If then find x.

We have, sin [cot-1 (x + 1)] = cos (tan-1 x)








On squaring both sides ,we get


1+x2 = x2+2x+2


⇒ 2x+2 = 1



OR


We have,





Solving the quadratic equation, we get





⇒ x = 0, -1


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