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2. Inverse Trigonometric Functions
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Q49 of 55 Page 35

State True or False for the statement

All trigonometric functions have inverse over their respective domains.

True.


It is well known that, all trigonometric functions have inverse


over their respective domains.


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47

Fill in the blanks

The result tan–1 x – tan–1( x-y/1+xy ) is true when value of xy is _________.

48

Fill in the blanks

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

50

State True or False for the statement

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

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.

Questions · 55
2. Inverse Trigonometric Functions
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