Question

Which equations for the measures of the unknown angles x and y are correct? Check all that apply.

a. x=cos⁻¹(θ), y=sin(θ)
b. x=tan⁻¹(θ), y=sin⁻¹(θ)
c. x=sin⁻1^,y=cos(θ)
d. Not Mentioned

Answer 1

The correct equations for the measures of the unknown angles x and y are: a. x = cos⁻¹(θ), y = sin(θ) and c. x = sin⁻¹(θ), y = cos(θ).

Step-by-step explanation:

The correct equations for the measures of the unknown angles x and y are: a. x = cos⁻¹(θ), y = sin(θ) and c. x = sin⁻¹(θ), y = cos(θ).

The first equation represents the cosine of angle x and the sine of angle y, while the third equation represents the sine of angle x and the cosine of angle y. These equations are based on the definition of sine and cosine functions in right triangles, where x is the adjacent side, y is the opposite side, and θ is the angle.