cos是余弦值,所以余弦值=邻边÷斜边因为在三角形中,30°所对的直角边是斜边的一半。所以这个三角形的三边之比=1:√3:2。所以cos30°=邻边÷斜边=√3:2=√3/2
角α | 0° | 30° | 45° | 60° | 90° | 120° | 135° | 150° | 180° | 270° | 360° |
弧度制 | o | π/6 | π/4 | π/3 | π/2 | 2π/3 | 3π/4 | 5π/6 | π | 3π/2 | 2π |
sinα | o | 1/2 | √2/2 | √3/2 | 1 | √3/2 | √2/2 | 1/2 | 0 | -1 | 0 |
cosα | 1 | √3/2 | √2/2 | 1/2 | 0 | -1/2 | -√2/2 | -√3/2 | -1 | 0 | 1 |
tanα | o | √3/3 | 1 | √3 | - | -√3 | -1 | -√3/3 | 0 | - | 0 |