Class 12 maths mcq chapter-2 inverse trigonometric functions

Write tan^(-1) x, x gt 0 in the form of other inverse trigonometric function

LEVEL-V SINGLE ANSWER TYPE QUESTIONS If we consider only the principal values of the inverse trigonometric functions then the value 4 5/2-sin'而)is of tan cos (IIT 1994)

If alpha=3sin^-1(6/11) and beta=3cos^-1(4/9) , where the inverse trigonometric functions take only the principal values, then the correct option(s) is (are)

The least numerical value, either positive or negative of angle theta is called principal value of the inverse trigonometric function.

If cotx=-5/(12) , lies in second quadrant, find the values of other five trigonometric functions.

Some Important properties of Inverse Trigonometric function

Find the values of the other five trigonometric functions I each of the following: cottheta=(12)/5,theta in quadrant III

Find the values of the other five trigonometric functions in each of the following: costheta=-1/2,theta in quadrant II

Trigonometric and inverse trigonometric functions are differentiable in their respective domain.