RD Sharma - Mathematics (Volume 1)

Book: RD Sharma - Mathematics (Volume 1)

Chapter: 4. Inverse Trigonometric Functions

Subject: Maths - Class 12th

Q. No. 7 of Exercise 4.7

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Write each of the following in the simplest form:

Assume x = sinθ

= sin–1

= sin–1

= sin–1

= sin–1

sin(A+B) = sinAcosB+cosAsinB

The above expression can be written as

= sin–1


But θ = sin–1x

the above expression becomes sin–1x.

The given equation simplification to sin–1x.

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