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T method help (1 Viewer)

Kurosaki

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Tan(theta) is =(2t)/(1-t^2)

Cos(theta)= (1-t^2)/(1+t^2)
Sec is the reciprocal of cos
Then you just add them.
 
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Kurosaki

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Ok given the values for tan and sec I gave you
1 + tan(theta)= 1 + 2t/(1-t^2). Adding them, you get (1-t^2+2t)/(1-t^2)
Then
Tan(theta) + sec(theta)= (1-t^2+2t)/(1-t^2) + (1+t^2)/(1-t^2)
U get to (2t + 2)/(1-t^2)

Divide by (1+t) u get 2/(1-t) ?
 
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Drewk

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Ok given the values for tan and sec I gave you
1 + tan(theta)= 1 + 2t/(1-t^2). Adding them, you get (1-t^2+2t)/(1-t^2)
Then
Tan(theta) + sec(theta)= (1-t^2+2t)/(1-t^2) + (1+t^2)/(1-t^2)
U get to (2t + 2)/(1-t^2)

Divide by (1+t) u get 2/(1-t) ?
I still dont get part i
 

Drewk

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According to my working my answers are right...let me work on it again
Tan(theta) + sec(theta)= (1-t^2+2t)/(1-t^2) + (1+t^2)/(1-t^2)

in ur line here ^ in 1st bracket, where did u get 1-t^2 from ?? Tan(theta) is =(2t)/(1-t^2)
 

Kurosaki

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Tan(theta) + sec(theta)= (1-t^2+2t)/(1-t^2) + (1+t^2)/(1-t^2)

in ur line here ^ in 1st bracket, where did u get 1-t^2 from ?? Tan(theta) is =(2t)/(1-t^2)
Lol whoops I used the result from the first question. Lol

Ok then the working would be
2t/(1-t^2) + (1+t^2)/(1 -t^2)
You get like
(t + 1)^2/(1-t^2)
Divide by (t+1)
U get (t+1)/(1-t)
 

Drewk

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Lol whoops I used the result from the first question. Lol

Ok then the working would be
2t/(1-t^2) + (1+t^2)/(1 -t^2)
You get like
(t + 1)^2/(1-t^2)
Divide by (t+1)
U get (t+1)/(1-t)
Why Divide by (t+1)
 

Sy123

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this is my working, a tad messy coz hand is injured sorry :O

http://snag.gy/BxyxA.jpg


EDIT: pic was taken on a webcam, terrible quality; sorry !
There is a mistake in the 5th line of your working for the first part.


=========================


Anyway, for the question:





That is the furthest simplification without going back to the start, unless you want to do something ridiculous like:

 
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