Question

Use a calculator to evaluate the expression. Express angles in radians rounded to two decimal places.

${\sin }^{-1}\left(0.382\right)$

Short answer

On evaluating the expression, we get $0.39$.

Step-by-step solution

Step 1. Given information.

Consider the given question,

${\sin }^{-1}\left(0.382\right)$

To solve this expression, we will need a calculator.

Using a calculator,

role="math" localid="1646510181715" ${\sin }^{-1}\left(0.382\right)=0.3919594$

Step 2. Round the expression.

Consider the given question,

${\sin }^{-1}\left(0.382\right)$

We know,

${\sin }^{-1}\left(0.382\right)=0.3919594$

Rounding off to two decimal places,

role="math" localid="1646510387340" ${\sin }^{-1}\left(0.382\right)=0.39$