Answer:
sin(2θ) = 1/2 has 4 solutions instead of 2
Explanation:
The argument of the sine function (2θ) will have a possible range of 0 to 4π in the latter equation, doubling the number of possible answers.
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The number of cycles of the sine function you need to consider will match the coefficient of the variable in the sine function argument. Perhaps the graph below can give you a clue as to why.