A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 one year ago
if sin theta equals 5/13 pi is less than theta less than 3 pi/2 find cos theta over 2
This is just all over the place
anonymous
 one year ago
if sin theta equals 5/13 pi is less than theta less than 3 pi/2 find cos theta over 2 This is just all over the place

This Question is Closed

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0If \(\sin \theta = \frac{ 5 }{ 13 }, \pi<\theta<\frac{ 3\pi }{ 2 }\), find \(\cos \frac{ \theta }{ 2 }\). this?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0you need to use the half angle identity \[\cos \theta = \pm \sqrt{\frac{ 1+\cos \theta }{ 2}}\] which means you need to find cos Θ.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Where are you suppose to use the sin theta part then?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Θ is in the 3rd quadrant so cos Θ is negative, and you can use the pythagorean theorem/triples to find it

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Right so its 5 12 13 triangle what would you use for the cos theta part?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so cos Θ would be 12/13

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So then you would just solve after?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Alright lets see how this works working it out then I might show you the work to see if its correct lol

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I can't really see if the 12/13 is negative. If it is then you're right and you just have to simplify it

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Alright yeah its negative sorry its hard to tell but we got sqrt of 1 over 26?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0that's what I got. Then since Θ is in the third quadrant, Θ/2 is in the second where cos is negative so got with √(1/26)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0or (√26)/26 if you have to rationalize

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0but I don't think either of them are right becauase the answer has to be greater then pi and less then 3 pi over 2?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0that's a restriction on Θ. That's how we know Θ is in the 3rd quadrant.dw:1436551969316:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0the question is asking for cos (Θ/2), not Θ itself

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0The answer is simple, A true saiyan sprinkles when he tinkles.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Wait so whats the answer then? im so confused lmaoo

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0cos (Θ/2) = √(1/26)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Is there a way to check the answer itself?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0try wolframalpha.com not sure how you'd have to word it though

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0But are you sure your right? with the answer and everything?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Alright I have an exam coming up which is why I am asking these questins XD haha thank you!
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.