trig

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

  • trig -

    if the cotØ < 0 then tanØ < 0
    then Ø is in either II or IV
    and since the cosØ = √2/2 (positive)
    Ø is in I or IV
    so Ø is in IV
    the angle in standard position is 45°
    (since cos45° = √2/2)

    you should know the trig ratios of the 45° by heart.
    so
    sinØ = -√2/2
    cscØ = -2/√2

    cosØ = √2/2 --- the given value
    secØ = 2/√2

    tanØ = -1
    cotØ = -1

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