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verify the equation is an identity: sin (x)/1-sin ^2 (x)
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is it \[\frac{ \sin x }{ 1-\sin^2x }\]
yes
Is tan x, considered an identity?
I think so
we have to know, it would be equals what ?
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sec x tan x
sorry
okay, that makes more sense.
use these identities : 1 - sin^2 x = cos^2 x sin/cos = tan 1/cos = sec
pretty much, should not take more than 4 steps.
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sin (x)/1-sin ^2 (x) = sin (x)/cos^2 x = sin(x)/cos(x) * 1/cos(x) = tan(x) sec(x)
or sec x tan x 1/cos x sin x /cos x sinx / cos 2x sinx / 1-sin2x
what we have here is simply a simplification trig problem... wherein we simplify... \[\frac{ \sin x }{ 1-\sin^2x }=\sec x \tan x\]
I mean cosx squared and sin x squared not double angle.
using trig identity of course... :)
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