Find the exact value or state that it is undefined. In the latter case, enter “DNE”.

Ask by Riley Smith. in the United States

Nov 02,2024

Question

Find the exact value or state that it is undefined. In the latter case, enter "DNE". $$ \sin ^{-1}\left(\sin \left(\frac{\pi}{6}\right)\right) $$

UpStudy AI · Accepted Answer

Calculate or simplify the expression $$ \arcsin(\sin(\pi/6)) $$.
Calculate the value by following steps:
- step0: Calculate:
  $$\arcsin\left(\sin\left(\frac{\pi }{6}\right)\right)$$
- step1: Calculate the trigonometric value:
  $$\arcsin\left(\frac{1}{2}\right)$$
- step2: Calculate the trigonometric value:
  $$\frac{\pi }{6}$$
The exact value of $$ \sin ^{-1}\left(\sin \left(\frac{\pi}{6}\right)\right) $$ is $$ \frac{\pi}{6} $$.
$$ \frac{\pi}{6} $$

Find the exact value or state that it is undefined. In the latter case, enter “DNE”.

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