Question

Решите простейшие тригонометрические уравнения:
6-8

Answer 1

6
2sinxcosx/(-2sin²a)=0
-ctgx-0
x=π/2+πn,n∈z
7
cos(x+π/4)-1=0⇒cos(x+π/4)=1⇒x+π/4=2πn⇒x=-π/4+2πn,n∈z
sin(x-π/4)-1=0⇒sin(x-π/4)=1⇒x-π/4=π/2+2πn⇒x=3π/4+2πn,n∈z
8
cos3x+1=0⇒cos3x=-1⇒3x=π+2πn⇒x=π/3+2πn/3,n∈z
cosx/2=0⇒x/2=π/2+πn⇒x=π+2πn,n∈z