SOLUTION: 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 = 2 cos x

Algebra ->  Trigonometry-basics -> SOLUTION: 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 = 2 cos x      Log On


   



Question 963979: 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 =
2
cos x

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
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 = 2cos x
-2sinxcosx=2cosx
divide both sides by 2cosx
-sinx=1
sinx=-1
x=3π/2