Question 143492
sin(&#960;/6)=1/2
cos(&#960;/6)=sqrt(3)/2

You could easily solve this problem by memorizing the unit circle and the trig values for various angles, without the two above givens.

a. tan(&#960;/6)=sin(&#960;/6)/cos(&#960;/6)=(1/2)/(sqrt(3)/2)=sqrt(3)/3
b. csc(&#960;/6)=1/sin(&#960;/6)=1/(1/2)=2
c. cot(&#960;/6)=cos(&#960;/6)/sin(&#960;/6)=(sqrt(3)/2)/(1/2)=sqrt(3)