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March 25, 2017

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Find the exact value of sin(theta/2) if cos theta = 2/3 and 270 degrees<theta<360 degrees.

Answer: sqrt6/6

  • Algebra II - ,

    half angle between 135 and 180 which is quadrant 2
    half angle formula in quad 2
    sqrt [(1-cos t)/2 ]
    sqrt [ (1/3) /2 ]
    sqrt (1/6)
    sqrt 1/sqrt 6
    sqrt 6/6 agree

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