A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 one year ago
can someone explain this to me???
anonymous
 one year ago
can someone explain this to me???

This Question is Closed

kropot72
 one year ago
Best ResponseYou've already chosen the best response.1The first step in simplifying is to multiply out the numerator: \[\large (1\cos \theta)(1+\cos \theta)=?\] Can you do that and post the result?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[1+\cos \theta \cos \theta + \cos^2 ?\]

DecentNabeel
 one year ago
Best ResponseYou've already chosen the best response.0(1−cosθ)(1+cosθ)=1cos^2x \[\sqrt{\frac{1\cos^2x}{\cos^2x}}\] \[\mathrm{Use\:the\:following\:identity}:\quad \:1\cos ^2\left(x\right)=\sin ^2\left(x\right)\] \[=\sqrt{\frac{\sin ^2\left(x\right)}{\cos ^2\left(x\right)}}\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok. so im left with sin(x) over cos(x)?

kropot72
 one year ago
Best ResponseYou've already chosen the best response.1Nearly correct! However the sign in front of the cos^2 (theta) term should be negative. Therefore we get: \[\large \sqrt{\frac{(1\cos^{2} \theta)}{\cos^{2} \theta}}\] Does that make sense?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yes. but cant i break that down further?

DecentNabeel
 one year ago
Best ResponseYou've already chosen the best response.0are you understand @kapukawai

kropot72
 one year ago
Best ResponseYou've already chosen the best response.1You need to use the relationship: \[\large \sin^{2}\theta+\cos^{2}\theta=1\] From which you get: \[\large 1\cos^{2}\theta=\sin^{2}\theta\] and finally by substitution we can write: \[\large \sqrt{\frac{\sin^{2}\theta}{\cos^{2}\theta}}\]

kropot72
 one year ago
Best ResponseYou've already chosen the best response.1Next you can use the relationship \[\large \frac{\sin\theta}{\cos\theta}=\tan\theta\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so tan theta is the simplified form of ...... ok that makes sence. i just have to memorise the relation ships?

kropot72
 one year ago
Best ResponseYou've already chosen the best response.1Yes, those relationships are some of the basic ones in trigonometry.
Ask your own question
Sign UpFind more explanations on OpenStudy
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.