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Thread: Solve the following equation?

  1. December 5th 2010, 08:13 PM #1
    vecoma
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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. December 5th 2010, 08:20 PM #2
    Prove It
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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.

    Go from here.
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