solve tan(x/2)=0. Find it fast please.
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Factor the equation:
tan(x)[1 - 2sin(x)] = 0
Using the zero product rule, set each of the factors equal to zero to solve
a) tan(x) = 0 which has the solution x = 0 or x = π on the interval given
b) 1 - 2sin(x) = 0 or sin(x) = 1/2 which has the solution x = π/6 and x = 5π/6 on the interval given
So the solutions are x = 0, π/6, 5π/6, and π
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