Ineed with this question.

for the right triangle shown match the equivalent expressions.

The solution in the attached figure

Step-by-step explanation:

we know that

In the right triangle ABC

sin(A)=cos(B) and cos(A)=sin(B)

because

-------> by complementary angles

step 1

Find sin(A)

The function sine of angle A is equal to divide the opposite side angle A by the hypotenuse

substitute the values

step 2

Find sin(B)

The function sine of angle B is equal to divide the opposite side angle B by the hypotenuse

substitute the values

step 3

Find cos(A)

The function cosine of angle A is equal to divide the adjacent side angle A by the hypotenuse

substitute the values

step 4

Find cos(B)

The function cosine of angle B is equal to divide the adjacent side angle B by the hypotenuse

substitute the values