SOLUTION: show that cot^2theta - cos^2theta =( cos^4theta) (csc^2theta)

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Question 1097299: show that cot^2theta - cos^2theta =( cos^4theta) (csc^2theta)
Answer by Alan3354(69443) About Me  (Show Source):
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show that cot^2theta - cos^2theta =( cos^4theta) (csc^2theta)
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cot^2 - cos^2 = cos^4*csc^2
cos^2/sin^2 - cos^2 = cos^4/sin^2
Nultiply by sin^2
cos^2 - sin^2*cos^2 = cos^4
Divide by cos^2
1 - sin^2 = cos^2
QED