contestada

Match each statement with its equivalent statement:
(match the ABC`s with the XYZ`s) Thank you!

A. sin^2 ⁡θ
B. sin⁡(-θ)
C. tan⁡θ

X. -sin⁡θ
Y. sin⁡θ/cos⁡θ
Z. 1-cos^2⁡θ

Respuesta :

MrRoyal

The ABC and XYZ statements are trigonometric statements

  • The equivalent of A is Z
  • The equivalent of B is X
  • The equivalent of C is Y

How to match the statements?

A. sin^2 ⁡θ

To do this, we apply the following trigonometric ratio

sin^2 ⁡θ + cos^2 ⁡θ = 1

Subtract cos^2 ⁡θ from both sides

sin^2 ⁡θ = 1 - cos^2 ⁡θ

Hence, the equivalent of A is Z

B. sin⁡(-θ)

Assume that θ is an acute angle, then we have:

sin⁡(-θ) = -sin⁡θ

Hence, the equivalent of B is X

C. tan⁡θ

Using the trigonometry formula, we have:

tan⁡θ = sin⁡θ/cos⁡θ

Hence, the equivalent of C is Y

Read more about trigonometry ratios at:

https://brainly.com/question/11967894