Respuesta :

Answer:

cos^2 theta

Step-by-step explanation:

csc theta sin theta - sin^2 theta

Note that csc theta = 1 / sin theta so we have

(1/ sin theta) * sin theta  - sin^2 theta

= 1 - sin^2 theta

= cos^2 theta   (answer)

Answer:

cos² Θ

Step-by-step explanation:

using the trigonometric identities

• csc Θ = 1 / sin Θ and sin² Θ + cos² Θ = 1, then

1 / sin Θ × sin Θ - sin² Θ = 1 - sin² Θ = cos² Θ