SOLUTION: A point on the terminal side of an angle thetaθ in standard position is left parenthesis 2 comma negative 4 right parenthesis(2,− 4). Find the exact value of each of the
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Question 995303: A point on the terminal side of an angle thetaθ in standard position is left parenthesis 2 comma negative 4 right parenthesis(2,− 4). Find the exact value of each of the six trigonometric functions of thetaθ.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A point on the terminal side of an angle thetaθ in standard position is left parenthesis 2 comma negative 4 right parenthesis(2,− 4). Find the exact value of each of the six trigonometric functions of thetaθ.
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tan(t) = -4/2 = -2/1
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Since tan = y/x, y = -2 and x = 1
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Then r = sqrt(2^2+1^2) = sqrt(5)
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sin = y/r = -2/sqrt(5)
cos = x/r = 1/sqrt(5)
tan = y/x = -2
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csc = r/y = -sqrt(5)/2
sec = r/x = sqrt(5)
cot = x/y = -1/2
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Cheers,
Stan H.
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