Q46. - Algebra 2

Question

Solve the equation $Arc\sin \left(1\right)=y$.

Step-by-Step Solution

Answer

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

Step 1. Write down the given equation.

The given equation is $arc\sin \left(1\right)=y$.

Step 2. Simplify the equation.

The given equation $Arc\sin \left(1\right)=y$ is solved as:

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

Step 3. Conclusion.

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