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Math Help - Solve the following equation?

  1. #1
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    Solve the following equation?

    2sintcost + sint - 2cost - 1 = 0

    t = ___pi

    what's the exact answer(no decimals)?
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  2. #2
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    You can factorise this...

    \displaystyle 2\sin{t}\cos{t} + \sin{t} - 2\cos{t} - 1 = 0

    \displaystyle \sin{t}(2\cos{t} + 1) - 1(2\cos{t} + 1) = 0

    \displaystyle (2\cos{t} + 1)(\sin{t} - 1) = 0

    \displaystyle 2\cos{t} + 1 = 0 or \displaystyle \sin{t} - 1 = 0.

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