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Find the Domain of `F(X)=Cos^-1x+Cosx.` - Mathematics

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Question

Find the domain of `f(x)=cos^-1x+cosx.`

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Solution

For `cos^-1x` to be defined.

`-1<=x<=1`

Now, cosx is defined for all real values.

So, domain of cosx is R.

Domain of `f(x)   is   R cap[-1,1]=[-1,1]`.

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Chapter 4: Inverse Trigonometric Functions - Exercise 4.02 [Page 10]

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RD Sharma Mathematics [English] Class 12
Chapter 4 Inverse Trigonometric Functions
Exercise 4.02 | Q 3 | Page 10

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