SOLUTION: Find the values if the trigonometric functions of θ from information given. tan(θ)=-3/4 , cos(θ)>0 I understand when the book ask for a quadrant, but when it t

Algebra ->  Trigonometry-basics -> SOLUTION: Find the values if the trigonometric functions of θ from information given. tan(θ)=-3/4 , cos(θ)>0 I understand when the book ask for a quadrant, but when it t      Log On


   



Question 855537: Find the values if the trigonometric functions of θ from information given.
tan(θ)=-3/4 , cos(θ)>0
I understand when the book ask for a quadrant, but when it throws in inequalities I'm kind of confused. Please help.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Find the values if the trigonometric functions of θ from information given.
tan(θ)=-3/4 , cos(θ)>0
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Note: If tan is negative and cos is positive theta is in QIV where
x is positive and y is negative.
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By definition tan = y/x; Since tan = -3/4, y = -3 and x = 4
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Then r = sqrt(9+16) = 5
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Ans::
sin = y/r = -3/5
cos = x/r = 4/5
tan = y/x = -3/4
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csc = r/y = -5/3
sec = 5/4
cot = -4/3
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Cheers,
Stan H.
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