Properties Of Inverse Trigonometric Functions

cos%5Cleft(tan%5E%7B-1%7Dx%5Cright)%20%3D%20cos%5C%2C%5Ctheta

x%20%3D%20tan%20%5C%2C%5Ctheta%20%3D%20%5Cfrac%7B1%7D%7B%5Csqrt%7B1%2Bx%5E%7B2%7D%7D%7D

cot%5E%7B-1%7D%20%5Cleft%5B%20cos%5Cleft(tan%5E%7B-1%7Dx%5Cright)%5Cright%5D%20%3D%20cot%5E%7B-1%7D%5Cleft%5B%5Cfrac%7B1%7D%7B%5Csqrt%7B1%2Bx%5E%7B2%7D%7D%7D%5Cright%5D%20%3D%20%5Cphi

%5CRightarrow%20cot%5C%2C%5Cphi%20%3D%20%5Cfrac%7B1%7D%7B%5Csqrt%7B1%2Bx%5E%7B2%7D%7D%7D

%5Ctherefore%20sin%5Cleft%5Bcot%5E%7B-1%7D%20%5Cleft(cos%5Cleft(tan%5E%7B-1%7D%20x%5Cright)%5Cright)%5Cright%5D%20%3D%20sin%5C%2C%20%5Cphi

%3D%20%5Cfrac%7B%5Csqrt%7B1%2Bx%5E%7B2%7D%7D%7D%7B%5Csqrt%7B2%2Bx%5E%7B2%7D%7D%7D

%3D%20%5Csqrt%7B%5Cfrac%7B1%2Bx%5E%7B2%7D%7D%7B2%2Bx%5E%7B2%7D%7D%7D

Chapter Questions
1 MCQs