What is $sin ({sin}^{- 1} \frac{\sqrt{2}}{2})$ $\sin ( sin^{-1} frac{sqrt{2}}{2})$ ?

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Answer 1 · 2014-10-24T22:07:04

Sine and arcsine are inverses of each other.

Arcsine is also known as $arcsin$ $arcsin$ and ${sin}^{- 1}$ $sin^-1$

Sine is also known as $sin$ $sin$

They undo each other so ...

$sin (\frac{{sin}^{- 1} \sqrt{2}}{2}) = \frac{\sqrt{2}}{2}$ $sin(sin^-1sqrt(2)/2)=sqrt(2)/2$

What is sin(sin−1√22)\sin ( sin^{-1} frac{sqrt{2}}{2})?