How do you find the exact value of $sin(cos^-1 (sqrt2/2))$ ?

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Answer 1 · 2016-08-13T03:20:06

$1/sqrt 2$

The angle $a = cos^(-1)(sqrt 2/2) in Q1$ .

Use $sin a = +-sqrt(1-cos^2a)$ and the positive sign is for $a in Q1$ .

Here, the given expression is

$sin a = 1/sqrt 2$ .

How do you find the exact value of sin(cos^-1 (sqrt2/2))sin(cos^-1 (sqrt2/2))?