Solve for in 0360 and in 02 a cot 1 square root 3 b cot 1

Solve for in [0°,360°) and in [0,2).

(a) cot =1 / square root 3

(b) cot =1 / square root 3

Solution

a) cot = 1/sqrt(3) = cot 60° or cot 240°

= 60° or 240°

now also cot = 1/sqrt(3) = cot(/3) or cot(4/3)

= /3 or 4/3

b) cot = -1/sqrt(3) = cot 120°  or cot 300°

= 120° or 300°

now also cot = -1/sqrt(3) = cot(2/3) or cot(5/3)

    = 2/3 or 5/3