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    Double-angle and half-angle

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    Given tanx = 2 and the quadrant is 1.
    Identify sin2x, cos2x, and tan2x using the double-angle and half-angle formulas.

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    Solution Preview

    Double-Angle formula
    Tan(2x)=2tan(x)/(1-tan(X)^2)=2*2/(1-2^2)= -4/3
    Since angle X is in quadrant 1, we know that 2X is in quadrant 2 ...

    Solution Summary

    This shows how to use the double-angle and half-angle formulas.