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anonymous
 5 years ago
prove the identity sin^2x + tan^2xsin^2x = tan^2x
anonymous
 5 years ago
prove the identity sin^2x + tan^2xsin^2x = tan^2x

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

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0nice, that's an easier way to do it ^ you could also do it this way: tan^2x  sin^2x= tan^2xsin^2x sin^2x/cos^2x  sin^2x= tan^2xsin^2x sin^2x ( 1/cos^2x  1) = tan^2xsin^2x sin^2x ( 1cos^2x/ cos^2x) = tan^2xsin^2x sin^2 x (sin^2x / cos^2x) = tan^2xsin^2x sin^2xtan^2x = tan^2xsin^2x

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0thanks but any without sec

gw2011
 5 years ago
Best ResponseYou've already chosen the best response.0sec x = 1/cos x Therefore, sec^2x = 1/cos^2x and sin^2x/cos^2x = tan^2x since tan x = sin x/cos x I'm not sure if this answers your question for an answer without sec
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