Some question related to inverse trigonometric functions | Class 12 | Maths Lecture 2

Some Important properties of Inverse Trigonometric function

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

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

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 we consider only the principal values of the inverse trigonometric functions , then the value of tan(cos^-1 (1/(5sqrt2)) -sin^-1 (4/sqrt(17))) is (a) sqrt(29)/3 (b) 29/3 (c) sqrt3/29 (d) 3/29

All trigonometric functions have inverse over their respective domins.

Find the value of the other five trigonometric functions : cot theta = -12/5 , pi/2 lt theta lt pi

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

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)

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