SOLUTION: -sin(&#960;/2-x)=&#8730;3*sin(x) (0&#8804;x<&#960;)

Algebra ->  Trigonometry-basics -> SOLUTION: -sin(&#960;/2-x)=&#8730;3*sin(x) (0&#8804;x<&#960;)       Log On


   

Question 1030369: -sin(π/2-x)=√3*sin(x)
(0≤x<π)
Found 2 solutions by solver91311, ikleyn:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


What do you want to do with this equation?

John

My calculator said it, I believe it, that settles it

Answer by ikleyn(52814) About Me  (Show Source):
You can put this solution on YOUR website!
.
-sin(pi/2-x) = sqrt(3)*sin(x)
(0 <= x < pi)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ 

1.  -sin%28pi%2F2-x%29 = -cos%28x%29.



2.  Therefore, the original equation takes the form

    -cos%28x%29 = sqrt%283%29%2Asin%28x%29.



3.  Then  sin%28x%29%2Fcos%28x%29 = -1%2Fsqrt%283%29,   or

    tan%28x%29 = -sqrt%283%29%2F3.

    x = 5pi%2F6,  or  150°.