Question

化简1\sin10度-根号3\cos10度

Answer 1

=2(cos10-√3sin10）/（2sin10cos10）
=4*（1/2cos10-√3/2sin10）/sin20
=4*(sin30cos10-sin10cos30）/sin20
=4*sin(30-10)/sin20
=4

Answer 2

1/sin10-√3/cos10
=(cos10-√3*sin10)/(sin10*cos10)
=2*(1/2*cos10-√3/2*sin10)/(sin10*cos10)
=4*(sin30cos10-cos30sin10)/sin20
=4sin(30-10)/sin20
=4