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Diana0920
Group Title
cot(theta)tan(theta) over sin(theta) + cos(theta) equals csc(theta)  sec(theta)
how do I proof this?
 one year ago
 one year ago
Diana0920 Group Title
cot(theta)tan(theta) over sin(theta) + cos(theta) equals csc(theta)  sec(theta) how do I proof this?
 one year ago
 one year ago

This Question is Open

Mertsj Group TitleBest ResponseYou've already chosen the best response.3
Let's use x instead of theta
 one year ago

Mertsj Group TitleBest ResponseYou've already chosen the best response.3
\[\frac{\cot x\tan x}{\sin x+\cos x}=\csc x\sec x\]
 one year ago

Mertsj Group TitleBest ResponseYou've already chosen the best response.3
Do I have the problem stated correctly?
 one year ago

Diana0920 Group TitleBest ResponseYou've already chosen the best response.0
would I have to replace cot(x) with cos(x)/sin(x)
 one year ago

Diana0920 Group TitleBest ResponseYou've already chosen the best response.0
and tan(x) with sin(x)/cos(x)
 one year ago

Mertsj Group TitleBest ResponseYou've already chosen the best response.3
\[(\frac{\frac{\cos x}{\sin x}\frac{\sin x}{\cos x}}{\sin x+\cos x})\times \frac{\sin x \cos x}{\sin x \cos x}=\frac{\cos ^2x\sin ^2x}{\sin x \cos x(\sin x+\cos x)}\]
 one year ago

Mertsj Group TitleBest ResponseYou've already chosen the best response.3
Can you get it from there?
 one year ago

Diana0920 Group TitleBest ResponseYou've already chosen the best response.0
sadly no? can you explain how I can simplify it more please?
 one year ago

Mertsj Group TitleBest ResponseYou've already chosen the best response.3
Factor the numerator and then the cosx + sinx will cancel.
 one year ago

alejandrop95 Group TitleBest ResponseYou've already chosen the best response.0
I'm still lost :(
 one year ago

Mertsj Group TitleBest ResponseYou've already chosen the best response.3
@alejandrop95 This is not your question
 one year ago

Diana0920 Group TitleBest ResponseYou've already chosen the best response.0
how would I factor it though? I'm sorry I am new to trig.
 one year ago

Mertsj Group TitleBest ResponseYou've already chosen the best response.3
Can you factor this: \[a^2b^2\]
 one year ago

Diana0920 Group TitleBest ResponseYou've already chosen the best response.0
I don't think you can because it doesn't have the same coefficient
 one year ago

Mertsj Group TitleBest ResponseYou've already chosen the best response.3
\[a^2−b^2=(ab)(a+b)\]
 one year ago

Mertsj Group TitleBest ResponseYou've already chosen the best response.3
\[\cos ^2x\sin ^2x=(\cos x\sin x)(\cos x+\sin x)\]
 one year ago

Diana0920 Group TitleBest ResponseYou've already chosen the best response.0
oh okay that makes sense. so would it be cossin(cos+sin)
 one year ago

Diana0920 Group TitleBest ResponseYou've already chosen the best response.0
then that would cancel with the denominator correct?
 one year ago

Mertsj Group TitleBest ResponseYou've already chosen the best response.3
Yes. sinx + cosx will cancel
 one year ago

Diana0920 Group TitleBest ResponseYou've already chosen the best response.0
which will leave 1/sin(x)+cos(x)
 one year ago

Diana0920 Group TitleBest ResponseYou've already chosen the best response.0
using the reciprocal identities this will equal csc(x)sec(x) ?
 one year ago

Mertsj Group TitleBest ResponseYou've already chosen the best response.3
dw:1382579245755:dw
 one year ago

Diana0920 Group TitleBest ResponseYou've already chosen the best response.0
cos(x)sin(x)/sin(x)+cos(x0
 one year ago

Diana0920 Group TitleBest ResponseYou've already chosen the best response.0
this is where I would use the reciprocal identities?
 one year ago

Mertsj Group TitleBest ResponseYou've already chosen the best response.3
dw:1382579370642:dw
 one year ago

Diana0920 Group TitleBest ResponseYou've already chosen the best response.0
the cos(x) cancel and the sin(x) cancels?
 one year ago

Mertsj Group TitleBest ResponseYou've already chosen the best response.3
dw:1382579509266:dw
 one year ago

Diana0920 Group TitleBest ResponseYou've already chosen the best response.0
yay!!!! the cancel and its one,which now you are left with the csc(x) and sec(x) reciprocal identities!! Thank you!! the key idea here that I need to work on was the factoring
 one year ago

Diana0920 Group TitleBest ResponseYou've already chosen the best response.0
thank you !:)
 one year ago

alejandrop95 Group TitleBest ResponseYou've already chosen the best response.0
thanks ! :)
 one year ago
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