Find all solutions to the equation in the interval [0, 21). Enter the
solutions in increasing order.
sin 2x = 2 sin x
x = [?],[1]
TT
Remember: sin 20 = 2 sin 0 cos 0

Step-by-step explanation:

Recall the trigonometric identity .

Therefore, given , rewrite the left side of the equation:

Subtract from both sides:

Factor out from both terms on the left:

We now have two cases:

Since the problem stipulates that is in the interval , we have:

Recall that square brackets mean inclusive and parentheses mean exclusive. Therefore, .

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step-by-step explanation:

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