Question 884021: if cosƟ = -2/3 and cotƟ >0, find the other trigonometric functions of Ɵ.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! if cosƟ = -2/3 and cotƟ >0, find the other trigonometric functions of Ɵ.
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Since cos is negative and cot is positive, theta is in QIII where
x and y are both negative.
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Since cos = x/r, x = -2 and r = 3
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y = -sqrt(3^2-2^2) = -sqrt(5)
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sin = y/r = -sqrt(5)/3
cos = x/r = -2/3
tan = y/x = sqrt(5)/2
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csc, sec, and cot are inverse of sin, cos, and tan
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Cheers,
Stan H.
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