Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing

This Question is Closed

haleyking345 Group TitleBest ResponseYou've already chosen the best response.0
Please Help!!!
 one year ago

jtvatsim Group TitleBest ResponseYou've already chosen the best response.1
reposting question in better format: \[\sin^2(x) = 3\cos^2(x)\]
 one year ago

haleyking345 Group TitleBest ResponseYou've already chosen the best response.0
I do not have a clue where to even start.
 one year ago

jtvatsim Group TitleBest ResponseYou've already chosen the best response.1
well, as it stands it looks pretty bad... do you remember what sin(x)/cos(x) is equal to?
 one year ago

haleyking345 Group TitleBest ResponseYou've already chosen the best response.0
tan x
 one year ago

jtvatsim Group TitleBest ResponseYou've already chosen the best response.1
good! now, let's use that to make this question simpler. divide both sides by cos^2(x) and it starts looking better.
 one year ago

jtvatsim Group TitleBest ResponseYou've already chosen the best response.1
You should get this:\[\tan^2(x) = 3\]
 one year ago

haleyking345 Group TitleBest ResponseYou've already chosen the best response.0
So then you square root it right?
 one year ago

jtvatsim Group TitleBest ResponseYou've already chosen the best response.1
do not forget that you will have a positive and negative root
 one year ago

haleyking345 Group TitleBest ResponseYou've already chosen the best response.0
ok thank you
 one year ago

jtvatsim Group TitleBest ResponseYou've already chosen the best response.1
Let me know if you need any further help good luck!
 one year ago

SithsAndGiggles Group TitleBest ResponseYou've already chosen the best response.0
Alternatively, you can use the identity \[\sin^2x +\cos^2x=1\] Rewriting the left (or right side, appropriately), you have \[\sin^2x=3(1\sin^2x)\\ \sin^2x=33\sin^2x\\ 4\sin^2x=3\\ \sin^2x=\frac{3}{4}\]
 one year ago

SithsAndGiggles Group TitleBest ResponseYou've already chosen the best response.0
Which gives you the difference of squares \[\sin^2x\left(\frac{\sqrt3}{2}\right)^2=0\\ \left(\sin x+\frac{\sqrt3}{2}\right)\left(\sin x\frac{\sqrt3}{2}\right)=0\] Easily solvable.
 one year 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.