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1 vote
8.) Simplify.

cot^2 0 - cot ^2 0 cos ^2 0
A.) tan^2 0
B.) -1
C.) 3
D.) sin ^2 0
E.) cos^2 0

1 Answer

3 votes

Answer:

The answer to your question is letter E. cos²α

Explanation:

cot²Ф - cot²Фcos²Ф

Remember that cot =
(cos \alpha)/(sin \alpha ) ; substitute in the previous equation


(cos^(2)\alpha )/(sin^(2) \alpha) - (cos^(2)\alpha )/(sin^(2)\alpha ) cos^(2)\alpha


(cos^(2)\alpha - cos^(4)\alpha )/(sin^(2)\alpha ) Factor cos²α


(cos^(2)\alpha(1 - cos^(2)\alpha )/(sin^(2)\alpha )

Remember that sin²α = 1 - cos²α


(cos^(2)\alpha sin^(2)\alpha)/(sin^(2) \alpha)

Simplify

cos²α

User Enzo
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