A community for students.
Here's the question you clicked on:
 0 viewing
lilsis76
 2 years ago
is x=15 degrees a solution of (( sqrt3)/3) cos2x+sin2x=1? how can i figure this out?
lilsis76
 2 years ago
is x=15 degrees a solution of (( sqrt3)/3) cos2x+sin2x=1? how can i figure this out?

This Question is Closed

campbell_st
 2 years ago
Best ResponseYou've already chosen the best response.1just substitute x = 15 into each trig ratio and use the exact angle identities below dw:1352142650262:dw if x =15 then 2x = 30.... use the exact values from the triangle above for cos2(15) = cos(30) ans sin2(15) = sin(30)

lilsis76
 2 years ago
Best ResponseYou've already chosen the best response.0how did you figure the triangle? even i didnt get or understand how to do that

lilsis76
 2 years ago
Best ResponseYou've already chosen the best response.0is the cos sqrt 3 / 2 and the sin 1/2?

campbell_st
 2 years ago
Best ResponseYou've already chosen the best response.1its called the an exact value triangle and its usually taught during a topic on trigonometry. thats correct now substitute those values to show that you will get 1 as the answer,

lilsis76
 2 years ago
Best ResponseYou've already chosen the best response.0okay let me try it. hold on

lilsis76
 2 years ago
Best ResponseYou've already chosen the best response.0is this right? so it doesnt equal 1

campbell_st
 2 years ago
Best ResponseYou've already chosen the best response.1not quite dw:1352143232742:dw

lilsis76
 2 years ago
Best ResponseYou've already chosen the best response.0so it doesnt equal 1 still. right?

campbell_st
 2 years ago
Best ResponseYou've already chosen the best response.1yes it does you need to check the 1st part dw:1352143563524:dw

lilsis76
 2 years ago
Best ResponseYou've already chosen the best response.0hold on let me try again, i wrote all sloppy

campbell_st
 2 years ago
Best ResponseYou've already chosen the best response.1your question says dw:1352143923416:dw

campbell_st
 2 years ago
Best ResponseYou've already chosen the best response.1substituting the exact values gives dw:1352143978828:dw

lilsis76
 2 years ago
Best ResponseYou've already chosen the best response.0okay i see the 2x, is basically that value of cos that is the sqrt 3 /2

campbell_st
 2 years ago
Best ResponseYou've already chosen the best response.1thats right it x = 15 2x = 30 so you are using cos(30) and sin(30) which are known as exact values.

campbell_st
 2 years ago
Best ResponseYou've already chosen the best response.1no dw:1352144327997:dw

lilsis76
 2 years ago
Best ResponseYou've already chosen the best response.0okay so the answer is 1/2, so the equation does not equal 1

campbell_st
 2 years ago
Best ResponseYou've already chosen the best response.1I'll write it again dw:1352144410590:dw

lilsis76
 2 years ago
Best ResponseYou've already chosen the best response.0okay, so i would cross multiply to the the 6/6 to equal 1?
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.