Question

In right triangle XYZ, ∠X and ∠Z are complementary angles and cos(X) is 9/11
. What is sin(Z)?

Answer 1

sinZ =
`(9)/(11)`

Explanation:

given X and Z are complementary angles and complementary angle sum to 90° , then

X + Z = 90 ( subtract X from both sides )

Z = 90 - X

using the identity

sin(angle) = cos(complement) , that is

sinZ = cosX =
`(9)/(11)`