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1) Solve the equation

sinx(sinx+1) = 0

I am having trouble with the first step. Could I do sin x^2 + 1 =0?

  • Pre-cal -

    Using distributive property of multiplication over addition:
    If p=sin(x), then

    However, this particular problem does not require the expression to be expanded.
    In fact, if
    p(p+1)=0, it means that either p=0, or p+1=0.
    Substitute p=sin(x), we get:
    sin(x)=0 .......(1) or

    Solve for x in each of the two cases. The answer is the union of the two sets of answers.

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