SOLUTION: Find all values of x in the interval [0,2pi] that satisfy the equation. ( enter your answers as a comma separated list) 5sin(2x) = 5cos(x)

Algebra ->  Trigonometry-basics -> SOLUTION: Find all values of x in the interval [0,2pi] that satisfy the equation. ( enter your answers as a comma separated list) 5sin(2x) = 5cos(x)       Log On


   



Question 786235: Find all values of x in the interval [0,2pi] that satisfy the equation. ( enter your answers as a comma separated list)
5sin(2x) = 5cos(x)

Answer by lwsshak3(11628) About Me  (Show Source):
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Find all values of x in the interval [0,2pi] that satisfy the equation. ( enter your answers as a comma separated list)
5sin(2x) = 5cos(x)
sin2x=cosx
2sinxcosx=cosx
2sinx=1
sinx=1/2
x=π/6, 5π/6