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

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.) 7 sin(2x) = 7 cos(x)       Log On


   

Question 830983: Find all values of x in the interval [0, 2π] that satisfy the equation. (Enter your answers as a comma-separated list.)
7 sin(2x) = 7 cos(x)
Answer by stanbon(75887) 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.)
7 sin(2x) = 7 cos(x)
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sin(2x) = cos(x)
2sin(x)cos(x) - cos(x) = 0
cos(x)[2sin(x)-1] = 0
cos(x) = 0 or sin(x) = 1/2
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x = pi/2 or (3/2)pi or x = pi/6 of (5/6)pi
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Cheers,
Stan H.
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