Question 840753: find the values of the trigonometric functions of t from the given information tan(t)=1/4 terminal point of t is in quadrant III
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! find the values of the trigonometric functions of t from the given information tan(t)=1/4 terminal point of t is in quadrant III
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Note: In QIII, x is negative and y is negative.
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Definition:: tan = y/x
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Since tan(t) = 1/4, y = -1 and x = -4
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Then r = sqrt[4^2 + 1^2] = sqrt(17)
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Your Problem::
sin = y/r = -1/sqrt(17)
cos = x/r = -4/sqrt(17)
tan = 1/4
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csc, sec, and cot are the inverse of sin, cos, and tan
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cheers,
Stan H.
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