1 / sin(170°) – √3 / sin(100°) помогите решить

Question

1 / sin(170°) – √3 / sin(100°) помогите решить

Answer 1

1/sin170-√3/sin100=1/sin(180-10)-√3/sin(90+10)=
=1/sin10-√3/cos10=(cos10-√3sin10)/(sin10cos10)=
2*(1/2*cos10-√3/2*sin10)/(1/2*sin20)=4sin(30-10)/sin20=4sin20/sin20=4