SOLUTION: Please help show me how to do these? Find all values of x in the interval [0, 2π] that satisfy the given equation. (Enter your answers as a comma-separated list.) sin 2

Algebra ->  Trigonometry-basics -> SOLUTION: Please help show me how to do these? Find all values of x in the interval [0, 2π] that satisfy the given equation. (Enter your answers as a comma-separated list.) sin 2      Log On


   

Question 864354: Please help show me how to do these?
Find all values of x in the interval [0, 2π] that satisfy the given equation. (Enter your answers as a comma-separated list.)
sin 2x = (square-root of 3) cos x
How to do thins? Thanks
Answer by hamsanash1981@gmail.com(151) About Me  (Show Source):
You can put this solution on YOUR website!
sin2x+=+sqrt%283%29%2Acosx
since sin 2x = 2 sinx. cosx
2sinx%2Acosx+=+sqrt%283%29%2Acosx
2sinx+=+sqrt%283%29
sinx+=+sqrt%283%29%2F2
sinx+=+sin+%28pi%2F3%29
x = pi/3