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3 years ago

What is simplified trigonometric expression for csc theta sin theta -sin^2 theta

Mathematics

2 answers:

Dahasolnce [82]3 years ago

7 0

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

rjkz [21]3 years ago

4 0

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)

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