Answer:
cos² Θ
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
cos^2 theta
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)
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