Question

Evaluate the expression without using a calculator. $$ \arcsin 0 $$

Short answer

\(\arcsin 0 = 0\)

Step-by-step solution

Identifying the requirement of the exercise

The task evaluate \(\arcsin 0\) means you need to find the angle whose sine is 0.

Recalling the sine values of key angles

Remember, the sine of an angle in the unit circle corresponds to the y-coordinate of a point on the unit circle. In the case of the angle 0, the point on the unit circle is (1,0). Hence, the sine of 0 is 0.

Providing the final answer

Since the sine of the angle 0 is 0, \(\arcsin 0\) is 0.