SOLUTION: An acute angle θ is in a right triangle with sin θ = two thirds . What is the value of cot θ?

Draw a right triangle.

Since the sine is  

Take the numerator of , which is 2 and put that on the 
opposite side of q, which is side b.

Take the denominator of , which is 3 and put that on 
the hypotenuse, the longest side with is c.



Since the cotangent is ,

cot(q) =  = 

Edwin