Question 712377
cot &#952; = 1/3, sin &#952; < 0
Find the values of the trigonometric functions of &#952; from the information given.
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We are working with a reference angle in quadrant III because only in quadrant III is cot>0 and sin<0. 
..
let O=opposite side
let A=adjacent side
let H=hypotenuse
cot &#952;=A/O=1/3
A=1, O=3
H=&#8730;(O^2+A^2)=&#8730;(3^2+1^1)=&#8730;(9+1)=&#8730;10
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sin &#952;=-3/&#8730;10
cos &#952;=-1/&#8730;10
tan &#952;=3
cot &#952;=1/3
csc &#952;=-&#8730;10/3
sec &#952;=-&#8730;10