SOLUTION: Find the values of the six trigonometric functions of θ with the given constraint. (If an answer is undefined, enter UNDEFINED.)
Function Value Constraint
cos &#
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Function Value Constraint
cos &#
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Question 717196: Find the values of the six trigonometric functions of θ with the given constraint. (If an answer is undefined, enter UNDEFINED.)
Function Value Constraint
cos θ = 21/29 tan θ < 0 Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! cos θ = 21/29 tan θ < 0
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Since cos is positive and tan is negative theta
is in QIV
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Since cos(theta) = 21/29, x = 21 and r = 29
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Solve for y:
y^2 = r^2-x^2
y^2 = 29^2-21^2 = 400
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Since tan is in QIV, y is negative: y = -sqrt(400) = -20
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sin = y/r = -20/29
cos = x/r = 21/29
tan = y/x = -20/21
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csc = r/y = -29/20
sec = r/x = 29/21
cot = x/y = -21/20
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Cheers,
Stan H.
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