Sqrt cot x-3 = 0

Question

Solve trig equation for all values in unit circle

Answer 1

square both side of the equation and you get

cot(x-3)=0

since cot =x/y cot is 0 where x=0 which is at

pi/2 radians (90degrees) and

3pi/2 radians (270 degrees)

so solutions are

x-3= pi/2. x= 3 +pi/2(n pi)

x-3 = 3pi/2 x =3 +(3pi/2) (n pi)

Answer 2

cotx = √3, x = π/6 + πn, where n = 0, ± 1, ± 2, ...