Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
Diana0920
Group Title
cot(theta)tan(theta) over sin(theta) + cos(theta) equals csc(theta)  sec(theta)
how do I proof this?
 11 months ago
 11 months ago
Diana0920 Group Title
cot(theta)tan(theta) over sin(theta) + cos(theta) equals csc(theta)  sec(theta) how do I proof this?
 11 months ago
 11 months ago

This Question is Open

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

alejandrop95 Group TitleBest ResponseYou've already chosen the best response.0
thanks ! :)
 11 months ago
See more questions >>>
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.