cot theta=5 find all solutions in the interval [0,2pi)

Question

finding cot theta=5 in the unit circle. finding the x values

Answer 1

 

 cot T = 5

 

tan T = 1/5

 

T = inverse tangent (1/5) = 11.31

 

Tangent is positive in quadrants 1 and 3

 

So 11.31 degrees and 191.31 degrees