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 one year ago
cot x sec^4x = cot x + 2 tan x + tan^3x
this is the problem I need to simplify. I'm not certain whether I can think of something like 2 tan as tan^2. I'm also having problems finding identities that will help me. Thank you so much!
 one year ago
cot x sec^4x = cot x + 2 tan x + tan^3x this is the problem I need to simplify. I'm not certain whether I can think of something like 2 tan as tan^2. I'm also having problems finding identities that will help me. Thank you so much!

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wio
 one year ago
Best ResponseYou've already chosen the best response.2What happens when you sub \(\sec^2(x) = \tan^2(x)+1\)?

wio
 one year ago
Best ResponseYou've already chosen the best response.2Since \(\sec^4(x) = [\sec^2(x)]^2\)

vittoria
 one year ago
Best ResponseYou've already chosen the best response.0So i can use that formula, but instead of tan^2(x) + 1. I do [tan^2(x) + 1]^2?

wio
 one year ago
Best ResponseYou've already chosen the best response.2Then foil it out and see if you've gotten closer.

vittoria
 one year ago
Best ResponseYou've already chosen the best response.0cot x [tan^2(x) + 1]^2 = cot x + 2 tan x + tan^3x which turns into : cot x tan^4(x^2) + 1 = cot x + 2 tan x + tan^3x correct?

wio
 one year ago
Best ResponseYou've already chosen the best response.2Not quite... \[ [\tan^2(x)+1]^2 = [\tan^4(x) + 2\tan^2(x) + 1] \]

wio
 one year ago
Best ResponseYou've already chosen the best response.2Since \(\cot(x) = 1/\tan(x)\) it will basically lower the power of the \(\tan(x)\) terms.

vittoria
 one year ago
Best ResponseYou've already chosen the best response.0Sorry, I'm not sure where you got the 2 tan ^2 from
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