Question

高一数学化简题，急

1/sin50 + 根号3/cos50
化简

Answer 1

1/sin50+√3/cos50
=(cos50+√3sin50)/sin50cos50
=(1/2cos50+√3/2sin50)/2sin50cos50 *1/4
=1/4*(sin30cos50+cos30sin50)/sin100
=1/4*sin80/sin100
=1/4*sin80/sin80
=1/4

Answer 2

通分得原式=(cos50°+√3sin50°)/sin50°cos50°
=2(sin30°cos50°+cos30°sin50°)/sin50°cos50°
=4sin80°/2sin50°cos50°
=4sin80°/sin100°
=4sin80°/sin80°
=4

Answer 3

原式=(cos50°+√3sin50°)/(sin50°cos50°)
=2(cos50°sin30°+cos30°sin50°)/(sin100°/2)
=4sin80°/sin80°
=4.

Answer 4

先同乘：sin50 * cos50
再除：2
就是公式了

Answer 5

原式通分 （ cos50+根号3sin50）/sin50*cos50 分子除2 分母乘2 得
=4*（sin30cos50+sin50cos30）/2sin50cos50
=4sin80/sin100 =4

Answer 6

通分：（cos50+根号3*sin50）/(sin50*cos50)