Question 1039808: Determine the two not given function values in the triple cos(x), sin(x), tan(x)
cos(x)=-1/3, 3π
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Determine the two not given function values in the
triple cos(t), sin(t), tan(t)
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cos(t)=-1/3
Assume t is in QII where x is negative and y is positive::
By definition cos = x/r
So x = -1 and r = 3
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Then y = sqrt[3^2-1^2] sqrt(8) = 2sqrt(2)
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Ans: sin(t) = y/r = 2srt(2)/3 ; tan(t) = y/x = 2sqrt(2)/(-1) = -sqrt(8)
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Cheers,
Stan H.
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