Properties Of Inverse Trigonometric Functions

We have,

%7B%7B%5Csin%20%7D%5E%7B-1%7D%7D%5C%2C2x%2B%7B%7B%5Ccos%20%7D%5E%7B-1%7D%7D2x%2B2%7B%7B%5Ctan%20%7D%5E%7B-1%7D%7Dx%3Dx

%5CRightarrow

%5Cfrac%7B%5Cpi%20%7D%7B2%7D%2B2%7B%7B%5Ctan%20%7D%5E%7B-1%7D%7Dx%3D%5Cpi%20%5C%2C%5Cleft(%20%5Cbecause%20%5C%2C%5C%2C%5C%2C%7B%7B%5Csin%20%7D%5E%7B-1%7D%7Dx%2B%7B%7B%5Ccos%20%7D%5E%7B-1%7D%7Dx%3D%5Cfrac%7B%5Cpi%20%7D%7B2%7D%20%5Cright)

%5CRightarrow

2%7B%7B%5Ctan%20%7D%5E%7B-1%7D%7Dx%3D%5Cfrac%7B%5Cpi%20%7D%7B1%7D-%5Cfrac%7B%5Cpi%20%7D%7B2%7D%3D%5Cfrac%7B%5Cpi%20%7D%7B2%7D

%5CRightarrow

%7B%7B%5Ctan%20%7D%5E%7B-1%7D%7Dx%3D%5Cfrac%7B%5Cpi%20%7D%7B4%7D

%5CRightarrow

x%3D%5Ctan%20%5Cfrac%7B%5Cpi%20%7D%7B4%7D

%5CRightarrow

x%3D1

Chapter Questions
2 MCQs