Тригонометрияa)sin2x+sinx cosx=0

Question

Тригонометрия
a)sin2x+sinx cosx=0

Answer 1

Sin2x = 2sinxcosx
2sinxcosx + sinxcosx = 0
3sinxcosx = 0
sinxcosx = 0
1) sinx = 0
x = pi*n, n € Z
2) cosx = 0
x = pi/2 + pi*n, n € Z