SOLUTION: Find all values of x in the interval [0, 2π] that satisfy the equation: 6 sin(2x) = 6 cos(x)

Algebra ->  Trigonometry-basics -> SOLUTION: Find all values of x in the interval [0, 2π] that satisfy the equation: 6 sin(2x) = 6 cos(x)      Log On


   

Question 702433: Find all values of x in the interval [0, 2π] that satisfy the equation:
6 sin(2x) = 6 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 equation:
6 sin(2x) = 6 cos(x)
sin2x=cosx
2sinxcosx=cosx
2sinx=1
sinx=1/2
x=π/6, 5π/6 (in quadrants I and II where sin>0)