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Algebra 2

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Find the exact values of the six trigonometric functions of theta if the terminal side of theta in standard position contains the point (-5/-4)

  • Algebra 2 -

    well, the points give you the opposite side, and the adjacent side. The hypotenuse must then be sqrt (25+16). So now one knows all three sides.

    Use the formulas for sine, cosine, and tangent, then invert them for the other three.

  • Algebra 2 -

    so R would be sqrt41 and then sin=-4/sqrt41 cos=-5/sqrt41 and so on and so forth right?

  • Algebra 2 -

    The values of the six trig. functions should be:

    sin(theta) = -4
    -------
    sqrt(41)

    cos(theta) = -5
    -------
    sqrt(41)
    tang(theta) = 4/5
    csc(theta = sqrt(41)
    --------
    -4
    sec(theta) = sqrt(41)
    --------
    -5
    cot(theta)= 5/4

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