Algebra-2

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

 

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

 

We know that cos B = . Using the definition of cosine, we have:

 

cos B =

 

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

 

BC = x

AB = y

 

Therefore, cos B =

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