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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1
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
) = 
