Question

Solve cot x + 2cot x * sin x = 0 for U^ <= x<=180

Answer 1

Explanation:

hello :

cot x + 2cot x sin x = 0 0≤ x≤ 180

cotx(1+2sinx) =0 means : cotx=0 or 1+2sinx=0

1) cotx=0 so : cosx=0 and sinx ≠ 0 because cotx = cosx/sinx

when : 0≤ x≤ 180 : x=90°

2) 1+2sinx=0 means : sinx = -1/2

when : 0≤ x≤ 180 : no solutions because : sinx ≥ 0

conclusion : one solution : x=90°