SOLUTION: Find the values of all the trigonometric functions from the given information. sin t=2/3, t is in quadrant II.

Algebra ->  Trigonometry-basics -> SOLUTION: Find the values of all the trigonometric functions from the given information. sin t=2/3, t is in quadrant II.      Log On


   



Question 949870: Find the values of all the trigonometric functions from the given information.
sin t=2/3, t is in quadrant II.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Find the values of all the trigonometric functions from the given information.
sin t=2/3, t is in quadrant II.
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By defintion sin = y/r
y = 2 and r = 3
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Note: x is negative and y is positive = QII
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x = -sqrt[r^2-y^2] = -sqrt[9-4] = -sqrt(5)
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sin = y/r = 2/3
cos = x/r = -sqrt(5)/3
tan = y/x = 2/-sqrt(5) = -2/sqrt(5)
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csc = 3/2
sec = -3/sqrt(5)
cot = -sqrt(5)/2
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Cheers,
Stan H.
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