Chapter 1.6, Problem 27E

To determine

To find: The measure of angle ${\sin }^{-1}\left(0.5\right)$ in radian and degree.

Answer to Problem 27E

Themeasure of angle in radian is 0.524 and degreeis $30°$ .

Explanation of Solution

Given information:The given angleis ${\sin }^{-1}\left(0.5\right)$ .

Calculation:

To find the conversion of given angle into radian, use the calculator and enter the keystrokes.

  $\boxed{2\text{nd}}\to \boxed{\text{SIN}}\to \boxed{0.5}\to \boxed{)}\to \boxed{\text{MODE}}$

Select the radian mode then quit the window. Now, press $\boxed{\text{ENTER}}$ key.

  ${\sin }^{-1}\left(0.5\right)=0.524$

To find the conversion of given angle into degree, use the calculator and enter the keystrokes.

  $\boxed{2\text{nd}}\to \boxed{\text{SIN}}\to \boxed{0.5}\to \boxed{)}\to \boxed{\text{MODE}}$

Select the degree mode then quit the window. Now, press $\boxed{\text{ENTER}}$ key.

  ${\sin }^{-1}\left(0.5\right)=30°$

Therefore, the measure of angle in radian is 0.524 and degrees is $30°$ .