calculus

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Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to three decimal places where appropriate. If there is no solution, enter NO SOLUTION.)
sin θ cos θ − 2 sin θ = 0

  • calculus -

    sin θ cos θ − 2 sin θ = 0
    factor out sin(θ)
    sin(θ)(cos(θ)-2) = 0

    Can you take it from here?

  • calculus -

    that is where i got stuck

  • calculus -

    When a product of factors is zero, one of the factors must be zero.

    So, either
    sin(θ) = 0 or cos(θ)-2 = 0

    sin(θ) = 0 when θ = k*pi

    cos(θ)-2 = 0 when cos(θ) = 2
    but cos(θ) is always less than 1. No solution here.

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