Question 174391: Pleease help me on this question,
Find the exact values of the six trigonometric function of θ if the terminal side of θ in standard position contains the point (-5,-4).
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Find the exact values of the six trigonometric function of θ if the terminal side of θ in standard position contains the point (-5,-4).
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All of the trig functions depend on x,y and r.
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Since your angle passes thru (-5,-4) you know x=-5 and y=-4.
So, r = sqrt(25+16) = sqrt(41)
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Note: also your point is in the 3rd quadrant
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So,
sin = y/r = -4/sqrt(41)
cos = x/5 = -5/sqrt(41)
tan = y/x = 4/5
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The csc, sec, and cot are the inverse of sin, cos, and tan.
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Cheers,
Stan H.
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