SOLUTION: if cotx=5/12 anc cosx<0 what is the measure of x to the nearest degeee

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Question 463114: if cotx=5/12 anc cosx<0 what is the measure of x to the nearest degeee
Answer by lwsshak3(11628) About Me  (Show Source):
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if cotx=5/12 anc cosx<0 what is the measure of x to the nearest degeee
cos function is negative in quadrants II and III.
cot function is positive in quadrants I and III
so, in its standard position, the terminal side of x lies in quadrant III.
Its reference angle =arc cot 5/12=arc tan 12/5=67.38º
therefore, x=180-67=113º