Question

Find value of x, if sin[cot-1 ( x + 1)]= cos ( tan-1 x).

Answer 1

sin(cot^-1(x+1)=cos(tan^-1(x)-->sin(sin^-1(1/sqrt(x^2+2x+2)=cos(cos^-1(1/sqrt(1+x^2)--> 1/sqrt(x^2+2x+2)=1/sqrt(1+x^2)Solving the above equation we get:x=-1/2

Answer 2

Please refer to the attachment !!!!!!!