Question

计算(tan10-根号3）*cos10/sin50

Answer 1

(sin10/cos10 * cos10-根号3 * cos10) / sin50

= (sin10 - 根号3 * cos10) / sin50

= 2(1/2 * sin10 - 根号3/2 * cos10) / sin50

= 2(cos60 * sin10 - sin60 * cos10) / sin50

= 2(sin(60-10)) / sin50

= 2

单位均为"度".

Answer 2

根3=tan60
分子=sin10-sin60cos10/cos60=(sin10cos60-sin60cos10)/cos60=sin(10-60)/cos60=-sin50/cos60
∴原式=-sin50/cos60sin50=-1/cos60=-2
对吧！口算的，错了见谅