Q51 of 55 Page 35

State True or False for the statement

The domain of trigonometric functions can be restricted to any one of their branch (not necessarily principal value) in order to obtain their inverse functions.

True


As, all trigonometric and their corresponding inverse functions


are periodic so, we can obtain the inverse of a trigonometric


ratio in any branch in which it is one-one and onto.


More from this chapter

All 55 →
49

State True or False for the statement

All trigonometric functions have inverse over their respective domains.

 50

State True or False for the statement

The value of the expression (cos–1x)2 is equal to sec2 x.

 52

State True or False for the statement

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

 53

State True or False for the statement

The graph of inverse trigonometric function can be obtained from the graph of their corresponding trigonometric function by interchanging x and y axes.