You can put this solution on YOUR website! Toss out the 3's (they factor out) and use the trig identity
(1) s1n(2x) = 2sin(x)cos(x) to get
(2) 2sin(x)cos(x) = cos(x) or
(3) 2sin(x) = 1 or
(4) sin(x) = 1/2 or
(5) sin(x) = .5
Use your calculator to find
(6) x = sin^(-1)(.5) or
(7) x = 30 degrees
Check this with the original problem
Is (3*sin(2*30) = 3*cos(30))?
Is (3*sin(60) = 3*)?
Is (3* = 3*)? Yes
Answer: x is 30 degrees.
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