SOLUTION: Find exact values for all the solutions to the equation for {{{sin theta=negative sqrt( 2 )/2}}} for the values of theta between negative two pi and positive two pi. There are 4 so

Algebra ->  Trigonometry-basics -> SOLUTION: Find exact values for all the solutions to the equation for {{{sin theta=negative sqrt( 2 )/2}}} for the values of theta between negative two pi and positive two pi. There are 4 so      Log On


   



Question 601312: Find exact values for all the solutions to the equation for sin+theta=negative+sqrt%28+2+%29%2F2 for the values of theta between negative two pi and positive two pi. There are 4 solutions
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Find exact values for all the solutions to the equation for sin+theta=negative+sqrt%28+2+%29%2F2 for the values of theta between negative two pi and positive two pi.
**
sinx=-√2/2 (-2π < x < 2π)
From-2π to 0
x=-π/4 and -3π/4 (in quadrants III and IV where sin<0)
..
From 0 to 2π
5π/4 and 7π/4 (also in quadrants III and IV where sin<0)