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anonymous
 5 years ago
cos^2x(1 + tan^2x)
anonymous
 5 years ago
cos^2x(1 + tan^2x)

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0what do you want to do with this problem? Solve it? or...?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i'm having trouble with trigonometric functions

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Solve cos^2x(1 + tan^2x) = 0?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0simplify. i'm so sorry!

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Since tanx = sinx/cosx, we have cos^2x(1 + tan^2x) = cos^2(x)[1 + {sin^2(x)/cos^2(x)}] =cos^2(x) + sin^2(x) =1

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0You can also see it like this: tan^2(x) + 1 = sec^2(x). Sec^2(x) = 1/cos^2(x), and since you're multiplying by cos^2(x), cos^2(x)/cos^2(x) = 1.
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