A community for students.
Here's the question you clicked on:
 0 viewing
hardequalsmath
 2 years ago
Find all real numbers: 3sin^2xsinx=0 HELP! I just basically need help knowing when i add/sub pi or 2pi
hardequalsmath
 2 years ago
Find all real numbers: 3sin^2xsinx=0 HELP! I just basically need help knowing when i add/sub pi or 2pi

This Question is Closed

hashim12atd
 2 years ago
Best ResponseYou've already chosen the best response.06sin^2 (x) cos^2 (x) sinx=0 Take sinx common you get sin(x)=0 As you know sin(n pi) =0 so x= n*pi where n is an integer... For remaining portion 6sinx cos^2 (x)1=0 we get sinx cos^2 x=1/6 as cos^2 x= 1sin^2 x sinx sin^3 x=1/6 solve the cubic equation

campbell_st
 2 years ago
Best ResponseYou've already chosen the best response.1why not just factor out sin(x) \[\sin(x)[3\sin(x) 1] = 0\] so fins the values where sin(x) = 0 and sin(x) = 1/3 they are the solutions.

hardequalsmath
 2 years ago
Best ResponseYou've already chosen the best response.0i lknow you take the inverse sin for both but then it tells me to sub tract the inverse of 1/3 from pi....and idk why

campbell_st
 2 years ago
Best ResponseYou've already chosen the best response.1will if you know the sin curve it looks like dw:1373607480309:dw so that covers sin(x) = 0 now for the other angle \[x = \sin^{1}(\frac{1}{3})\] just type it into a calculator.

campbell_st
 2 years ago
Best ResponseYou've already chosen the best response.1well 1st find your angle then convert it to radians \[1^o = \frac{\pi}{180}... radians\] so you will need to convert your answer. \[answer \times \frac{\pi}{180}..radians\] then when you get you answer, which will be 1st quadrant the other angle will be pi  answer in radians

hardequalsmath
 2 years ago
Best ResponseYou've already chosen the best response.0how do you know its pi and not 2pi?

campbell_st
 2 years ago
Best ResponseYou've already chosen the best response.11st quadrant angle in degrees angle in radians 2nd quadrant angles are 180  angle or pi  angle 3rd quadrant 180 + angle or pi + angle 4th quadratn 360  angle or 2pi  angle

hardequalsmath
 2 years ago
Best ResponseYou've already chosen the best response.0oh wow thanks so much you dont know how long ive been lost....:) thanks

hardequalsmath
 2 years ago
Best ResponseYou've already chosen the best response.0so just to clarify for first quadrant....its just the answer you get from the inverse of sin?

campbell_st
 2 years ago
Best ResponseYou've already chosen the best response.1thats correct... then 2nd quadrant is 180  that angle for degrees or pi  angle in radians
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.