SOLUTION: What are the trigonometric functions if sin t= (-1/4). sec t<0

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Question 917957: What are the trigonometric functions if sin t= (-1/4). sec t<0
Answer by lwsshak3(11628) About Me  (Show Source):
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What are the trigonometric functions if sin t= (-1/4). sec t<0
reference angle t is in quadrant III in which sin<0, cos<0.
sin(t)=-1/4 (given)
cos(t)=-√(1-sin^2(t))=-√(1-(-1/4)^2)=-√(1-(1/16))=-√(15/16=-√15/4
tan(t)=sin/cos=-1/-√15=√15/15
cot(t)=√15
csc(t)=-4
sec(t)=4/-√15=-4√15/15