Find 2 solutions for cot (θ) = - √3 what is the easiest way to find this? ... ?

Cot t = - √3

cos t / sin t = - √3

cos t = - √3 sin t

cos t + √3 sin t = 0 / : 2

1/2 cos t + √3/2 sin t = 0 (we will use the additional formula)

sin 30° * cos t + cos 30° * sin t = 0

sin (30° + t) = 0

30° + t = 0, t = - 30°

30° + t = 180° t = 150°

Answer:

t 1 = - π/6,

t 2 = 5π/6