Q50 of 55 Page 35

State True or False for the statement

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

False


As, cos-1 x is not equal to sec x. So, (cos–1x)2 is not equal to


sec2 x.


More from this chapter

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48

Fill in the blanks

The value of cot–1(–x) for all x ϵ R in terms of cot–1 x is _______.

 49

State True or False for the statement

All trigonometric functions have inverse over their respective domains.

 51

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.

 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.