SOLUTION: How would I solve these Suppose tan t = −4 and t is in quadrant IV. Find each of the following: http://i.imgur.com/Ny9BXy4.png Thank you

Algebra ->  Trigonometry-basics -> SOLUTION: How would I solve these Suppose tan t = −4 and t is in quadrant IV. Find each of the following: http://i.imgur.com/Ny9BXy4.png Thank you      Log On


   

Question 920919: How would I solve these
Suppose tan t = −4 and t is in quadrant IV. Find each of the following:
http://i.imgur.com/Ny9BXy4.png

Thank you
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
How would I solve these
Suppose tan t = −4 and t is in quadrant IV.
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By definition, tan = y/x
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Since tan(t) = -4, and since x is positive and y is negative in QIV,
y = -4 and x = 1
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Then r = sqrt[4^2+1^2] = sqrt(17)
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sin = y/r = -4/sqrt(17)
cos = x/4 = 1/sqrt(17)
tan = y/x = -4
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csc = r/y = -sqrt(17)/4
sec = 4/x = sqrt(17)
cot = x/y = -1/4
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Cheers,
Stan H.
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