Solving a Trigonometric Equation Over the interval [0, 2π), what are the solutions to sin(2x) = sin(x)? Check all that apply.

0
StartFraction pi Over 3 EndFraction
StartFraction 2 pi Over 3 EndFraction
Pi
StartFraction 4 pi Over 3 EndFraction
StartFraction 5 pi Over 3 EndFraction

step-by-step explanation:

to determine whether a given function is even, we simply substitute x with -x in the expression. if the result after simplification is identical to the original equation, then the function is said to be even other wise odd.

f(-x) = (-x)^2 - (-x) + 8

      = x^2 + x +8

the resulting function is not identical to the original one;

f(-x) ≠ f(x)

therefore, f(x) is not an even function