pre calc

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The terminal side of an angle in standard position goes through the poin (-2,5). Find the values of the 6 trig function

sin
cos
tan
csc
sec
cot

  • pre calc -

    did you make a diagram?
    you would have a right-angled triangle in the second quadrant with x=-2 and r=5
    so
    x^2 + y^2 = r^2
    4 + y^2 = 25
    y = ± √21

    but we are in quadrant II, so y = +√21

    now, knowing the trig rations in terms of x,y, and r, your question is easy

    e.g. tan(angle) = y/x = - √21/2
    sec(angle) = r/x = - 5/2

    you do the rest.

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