trig

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find the 5 other thrig functions if cos(theta) = square root of 2/2 and cotangent is less than 0

  • trig -

    Given:CosA=SQRT2/2

    Since the cosine is positive and the
    tangent and cotangent are negative
    (less than 0), we are in the 4th Quad-
    rant. CosA=sqrt2/2=x/r, x=sqrt2, r=2,
    Y=sqrt(r^2-x^2)=sqrt(4-2)=+/-sqrt2,
    Y=-sqrt2(4th Quadrant).

    SinA=y/r=-sqrt2/2.
    CosA=sqrt2/2=x/r(Given)
    TanA=y/x=-sqrt2/sqrt2=-1

    cscA=-(2/sqrt2).
    secA=2/sqrt2
    CotanA=sqrt2/-sqrt2=-1

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