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need solution for rd sharma maths class 12 chapter inverse trigonometric functions exercise 3.2  question 3

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Answer: [-1, 1]

Hint: Domain of  \cos ^{-1}x lies in the interval [-1, 1]

Given:f(x)=\cos ^{-1}x+\cos x

Solution:

Domain of (x) lies in the interval [-1, 1].

Domain of \cos x is R as \cos x is defined for all real values.

Hence,N

Domain of  \cos ^{-1}x+\cos x will be the intersection of both the functions,R ∩ [-1, 1]=[-1,1]

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