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:

As we know sin(–θ) is –sin(θ )

We can write (sin) as –sin

Now –sin–sin

As we know sin(2π +θ) = sin(θ )

So –sin can be written as –sin

And –sin = sin

The equation becomes sin–1(sin)

As sin–1(sin x) = x

Provided x ϵ

we can write sin–1(sin) =

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