SOLUTION: Explain how to transform tan^2(theta) cos^2(theta)+cot^2(theta)sin^2(theta) into 1.

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Question 599287: Explain how to transform tan^2(theta) cos^2(theta)+cot^2(theta)sin^2(theta) into 1.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
tan^2(x)cos^2(x)+cot^2(x)sin^2(x)

(sin^2(x)/cos^2(x))cos^2(x) + (cos^2(x)/sin^2(x))sin^2(x)

sin^2(x) + cos^2(x)

1


So this shows us that tan^2(x)cos^2(x)+cot^2(x)sin^2(x) simplifies to 1.