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

Step-by-step 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°