Evaluate each of the following:

The value of sin
is ![]()
∴ The question becomes sin–1![]()
Let sin–1
= y
⇒ –sin y = ![]()
= –sin![]()
As, –sin(θ) is sin(–θ).
⇒ –sin
= sin![]()
The range of principal value of sin–1 is
and sin ![]()
Therefore, the value of sin–1(sin
) is
.
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