SOLUTION: Solve the following equation. (Enter your answers as a comma-separated list. Let k be any integer. Enter DNE is there is no solution.) 2 cos 2θ − 1 = 0 (a) Find al

Algebra ->  Trigonometry-basics -> SOLUTION: Solve the following equation. (Enter your answers as a comma-separated list. Let k be any integer. Enter DNE is there is no solution.) 2 cos 2θ − 1 = 0 (a) Find al      Log On


   



Question 925757: Solve the following equation.
(Enter your answers as a comma-separated list. Let k be any integer. Enter DNE is there is no solution.)
2 cos 2θ − 1 = 0
(a) Find all solutions of the equation.
θ =
(b) Find the solutions in the interval [0, 2π).
θ =

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Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
2 cos 2θ − 1 = 0
cos x = 1/2
x = π/3 , 5π/3 (See Below)
2θ = x
θ = x/2
θ = π/6 + 2kπ , 5π/6 + 2kπ
.......
(b) Find the solutions in the interval [0, 2π).
θ = π/6 , 5π/6
..........
(cosx, sinx) Summary Unit Circle
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