Domain & range of inverse functions
Note:
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o sin – 1 x should not be confused with( sin x) – 1. In fact( sin x) – 1 = 1 / sin x and similarly for other trigonometric functions.
Whenever no branch of inverse trigonometric functions is mentioned, we mean the principal value branch of that function.
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The value of an inverse trigonometric functions which lies in the range of principal branch is called the principal value of that inverse trigonometric functions
Domain & range of inverse functions
Numerical: Find sin – 1(-1 / 2) Solution: sin – 1(-1 / 2) = y Sin y =-1 / 2 = sin(-π / 6)
Or y =-π / 6