Question

In right triangle XYZ, X and Z are complementary angles and cos(X) is What is sin(Z)?

A.√20/11
B. 9/11
C. √20/9
D. 11/9

Answer 1

In a right triangle with complementary angles X and Z, the sin of angle Z is equal to the cos of angle X.

Step-by-step explanation:

In a right triangle XYZ, X and Z are complementary angles. Since X and Z are complementary, the sum of their measures is 90 degrees. Let's say X = x degrees and Z = 90 - x degrees. According to the question, cos(X) = cos(x degrees). We need to find sin(Z), which is sin(90 - x degrees).

Using the identity sin(90 - x) = cos(x), we can substitute cos(x) for sin(90 - x). Therefore, sin(Z) is equal to cos(X). Thus, sin(Z) = cos(X).

So the answer is cos(X).

Answer 2

I think the answer is letter A