Need the answer of this question and an explanation on how really don't understand this please help

Answer:

A

Step-by-step explanation:

Using the cofunction identity

cos(90 - x) = sinx , or

sin(angle) = cos(complement of angle)

x and z are complementary angles , x + z = 90 , then

sinz = cosx =

Final answer:

In right triangle XYZ, if X and Z are complementary and cos(X) is 11, sin(Z) should be 11 as well. Nevertheless, the cosine of an angle in a standard triangle can't exceed 1 in absolute value, suggesting an error in the provided data.

Explanation:

In a right triangle, if two angles are complementary, their sum equals 90 degrees. In the case of right triangle XYZ, angles X and Z are complementary. This means that angle Z is the complement of angle X. In trigonometry, the sine of an angle is equal to the cosine of its complement.

Therefore, sin(Z) = cos(X).

Given that cos(X) is 11, it follows that sin(Z) is also 11. However, it is essential to point out that the cosine of an angle can't exceed 1 in absolute value in a standard triangle, so there might be a misprint or misunderstanding in the problem. If cos(X) falls within a valid range, then sin(Z) should equal cos(X).

Learn more about Trigonometry here:

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