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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
 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
 one year ago

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

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

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

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

vittoriaBest ResponseYou've already chosen the best response.0
cot 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?
 one year ago

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

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

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