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March 26, 2017

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Suppose the tangent of an acute angle in a right triangle is less than 1. How does the side opposite the angle compare to the side adjacent to the angle?

  • trig - ,

    tangent of an angle is opposite/adjacent.
    For angles >45°, the tangent > 1
    for angles < 45°, the tangent < 1
    so to get a value of < 1, the fraction must have been a proper fraction, that is, then opposite must have been less than the adjacent.

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