Algebra-2

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

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 ∠A is the angle opposite to side AC.

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

sin B =

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 B =

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