Q45. - Algebra 2

Question

Solve the equation $x={\sin }^{-1}\left(1\right)$.

Step-by-Step Solution

Answer

The solution for the equation is $x=\frac{\pi }{2}$.

Step 1. Write down the given equation.

The given equation is $x={\sin }^{-1}\left(1\right)$.

Step 2. Simplify the equation.

The given equation $x={\sin }^{-1}\left(1\right)$ is solved as:

 $\begin{array}{c}x={\sin }^{-1}\left(1\right)\mathrm{....}\left(\text{Given}\right)\\ \sin x=1\\ x=\frac{\pi }{2}\end{array}$

Step 3. Conclusion.

The solution for the given equation is $x=\frac{\pi }{2}$.