RD Sharma - Mathematics (Volume 1)

Book: RD Sharma - Mathematics (Volume 1)

Chapter: 4. Inverse Trigonometric Functions

Subject: Maths - Class 12th

Q. No. 1 of Exercise 4.7

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Evaluate each of the following:


sin–1(sin x) = x

Provided x ϵ ≈ [–1.57,1.57]

And in our equation x is 3 which does not lie in the above range.

We know sin[π – x] = sin[x]

sin(π – 3) = sin(3)

Also π–3 belongs in

sin–1(sin3) = π–3

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