两道三角恒等变换题目(需要解释)

问题描述:

两道三角恒等变换题目(需要解释)
一.(1/sin10°)-(根号3/sin80°)=
二.若tanα=1/3,则cos2α=

1/sin10°-√3/sin80°=1/sin10°-√3/cos10° =(cos10°-√3sin10°)/sin10°cos10° =2(1/2cos10°-√3/2*sin10°)/sin10°cos10° =2cos(10°+60°)/sin10°cos10° =4cos70°/sin20° =4sin20° /sin20° =4tan...