1- sin^2x+cosx*sinx=0

Question

1- sin^2x+cosx*sinx=0

Answer 1

1 - sin^2x + cosx*sinx = 0 
cos^2x + cosx * sinx = 0 
cosx*  (cosx + sinx) =  0 

cosx = 0 
x = 2pik, k ∈ Z

cosx + sinx = 0  // :cosx ≠ 0 
tgx =  - 1
x = - arctg(1) + pik
x = - pi/4 + pik, k ∈ Z

Ответ:
x = 2pik, k ∈ Z
x = - pi/4 + pik, k ∈ Z