Some question related to properties of inverse trigonometric function

Some Important properties of 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 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

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.

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

Find the values of the trigonometric function sin 765^(@)

Find the values of the trigonometric function tan (19pi)/3

If cosx=-3/5 , x lies m the third quadrant, find the values of other five trigonometric functions.

Find the values of the trigonometric function sin( -11pi/3)