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Please help solve... (1 Viewer)

tommykins

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cos^4x = tan^2x
cos^4 x = sec^2x - 1
cos^6 x = 1 - cos^2x

solve that.
 

study-freak

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If anyone can solve..
cos^2 x=tan x
1=tan x sec^2 x
1=tan x (1+tan^2 x)
tan^3 x + tan x -1=0

I just can't solve after this..
 

study-freak

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OH I got it... I'll post it soon (I hope it's correct.)
Edit: Whoops. it was wrong... Still can't do it..
 
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study-freak

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lol, approximation of roots
LOL....

Anyway, since I'm getting something imaginary, can someone plz correct my working...

From my previous post in this thread,
tan^3 x+tan x -1=0
Differentiating in terms of x,
3tan^2 x sec^2 x+sec^2 x=0
3tan^2 x=-1
tan^2 x=-1/3
tan x=i/root3
wth... imaginary number...
 

lyounamu

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LOL....

Anyway, since I'm getting something imaginary, can someone plz correct my working...

From my previous post in this thread,
tan^3 x+tan x -1=0
Differentiating in terms of x,
3tan^2 x sec^2 x+sec^2 x=0
3tan^2 x=-1
tan^2 x=-1/3
tan x=i/root3
wth... imaginary number...
lol no,,, you cannot get imaginary because i clearly got some angles there.
 

tommykins

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that just says theres no tp's or inflexion.
 

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