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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7
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.
