Evaluatesin^-1 (sin3pi/4)Show your reasoning.

asked Aug 22, 2023 106k views

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Answer:
$\sin ^(-1)(\sin (3\pi)/(4))=(\pi)/(4)$

Step-by-step explanation:

Given the expression:

$\sin ^(-1)(\sin (3\pi)/(4))$

The exact value of:

$\sin ((3\pi)/(4))=\frac{1}{\sqrt[]{2}}$

Then:

$\sin ^(-1)(\sin (3\pi)/(4))=\sin ^(-1)(\frac{1}{\sqrt[]{2}})$

Evaluating, we have:

$(\pi)/(4)$

Levivanzele answered Aug 26, 2023