SOLUTION: Find all values of x in the interval [0, 2π] that satisfy the equation. (Enter your answers as a comma-separated list.) 14 sin2(x) = 7

Algebra ->  Trigonometry-basics -> SOLUTION: Find all values of x in the interval [0, 2π] that satisfy the equation. (Enter your answers as a comma-separated list.) 14 sin2(x) = 7      Log On


   



Question 655404: Find all values of x in the interval [0, 2π] that satisfy the equation. (Enter your answers as a comma-separated list.)
14 sin2(x) = 7

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. (Enter your answers as a comma-separated list.)
14 sin^2(x) = 7
sin^2(x) = 7/14=1/2
sin(x)=1/√2=√2/2
x=π/4, 3π/4 (in quadrants I and II where sin>0)