SOLUTION: Solve for theta: {{{cos(theta)}}} = {{{-sqrt(2)/2}}}. Give all solutions.

Algebra ->  Test  -> Lessons -> SOLUTION: Solve for theta: {{{cos(theta)}}} = {{{-sqrt(2)/2}}}. Give all solutions.      Log On


   

Question 985700: Solve for theta: cos%28theta%29 = -sqrt%282%29%2F2. Give all solutions.
Answer by ikleyn(52775) About Me  (Show Source):
You can put this solution on YOUR website!

cos%28theta%29 = -sqrt%282%29%2F2

theta = 3pi%2F4+%2B+2k%2Api, k = 0, +/-1, +/-2, +/-3, . . .

and

theta = 5pi%2F4+%2B+2k%2Api, k = 0, +/-1, +/-2, +/-3, . . .