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Tamil Nadu Board of Secondary EducationHSC Science Class 12

Find the domain of g(x)=sin-1x+cos-1x - Mathematics

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Question

Find the domain of `g(x) = sin^-1x + cos^-1x`

Sum

Solution

`g(x) = sin^-1x + cos^-1x`

Range of sin x and cos x is [–1, 1]

– 1 ≤ x ≤ 1

∴ x ∈ [–1, 1]

The domain of g(x) = [–1, 1]

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The Cosine Function and Inverse Cosine Function
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Chapter 4: Inverse Trigonometric Functions - Exercise 4.2 [Page 143]

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Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 12 TN Board
Chapter 4 Inverse Trigonometric Functions
Exercise 4.2 | Q 6. (ii) | Page 143
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