precalculus

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Use a Double- or Half-Angle Formula to solve the equation in the interval [0, 2π). (Enter your answers as a comma-separated list. Round your answers to three decimal places where appropriate.)
sin 2θ + sin θ = 0

  • precalculus -

    sin2x = 2sinx cosx
    so, you have
    2sinx cosx + sinx = 0
    sinx (2cosx+1) = 0

    you should be able to sort that out easily, looking for values where
    sinx=0 or cosx = -1/2

  • precalculus -

    If a projectile is fired with velocity v0 at an angle θ, then its range, the horizontal distance it travels (in feet), is modeled by the function
    R(θ) =
    v02 sin 2θ
    32
    .
    If
    v0 = 2600 ft/s,
    what angle (in degrees) should be chosen for the projectile to hit a target on the ground 5000 ft away? (Enter your answers as a comma-separated list. Round your answers to three decimal places.)
    Thanks.

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