SOLUTION: suppose theta is an angle in standard position whose terminal side lies in quadrant IV. If sin of theta = -4/5 find the value for cot theta

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Question 823433: suppose theta is an angle in standard position whose terminal side lies in quadrant IV. If sin of theta = -4/5 find the value for cot theta
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
suppose theta is an angle in standard position whose terminal side lies in quadrant IV. If sin of theta = -4/5 find the value for cot theta
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In quadrant IV sin<0, cos>0, cot<0
cos%28x%29=sqrt%281-sin%5E2%28x%29%29=sqrt%281-%2816%2F25%29%29=sqrt%289%2F25%29=3%2F5
note: a shortcut method is to recognize you are working with a (3-4-5)reference right triangle, then, cosx=3/5.
cotx=cosx/sinx=3/-4=-3/4