Algebra-2

Given that ∠C is a right angle and sin A = , we want to find the value of sin B.

In a right triangle, the sum of the measures of the angles is 90 degrees. Therefore, ∠A + ∠B = 90 degrees. Since ∠C is a right angle, we can conclude that ∠B is the angle opposite to side BC.

We know that sin A = . Using the definition of sine, we have:

sin A =

In this case, the opposite side is AC and the hypotenuse is AB. Let's assign variables to these sides:

AC = x
AB = y

Therefore, sin A =