Algebra II

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1) Find the exact value of cos 105 degrees by using a half-angle formula.

2)Find the solution of sin 2theta = cos theta if 0 degrees</= theta < 180 degrees.

I have read the book and looked at the examples, but cannot figure out how to work these. Any help would be great!!

Thanks

  • Algebra II -

    1)
    105 * 2 = 210 is a nice angle, 180 + 30

    2)
    2 sin t cos t = cos t
    2 sin t = 1
    sin t = 1/2
    t = 30 degrees or pi/6 radians

    the other solution t = 150 degrees is no good because the cos t would be negative

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