Trigonometry

Trigonometry of right triangles

Keywords: Trigonometry of right triangles

Trigonometry of right triangles

s i n α = a c ,     c o s α = b c ,     t g α = b a
α 30° 45° 60° 90° 120° 135° 150° 180° 210° 225° 240° 270° 300° 315° 330° 360°
α
0
π 6
π 4
π 3
π 2
2 π 3
3 π 4
5 π 6
π
7 π 6
5 π 4
4 π 3
3 π 2
5 π 3
7 π 4
11 π 6
2 π
s i n α
0
1 2
2 2
3 2
1
3 2
2 2
1 2
0
1 2
2 2
3 2
1
3 2
2 2
1 2
0
c o s α
1
3 2
2 2
1 2
0
1 2
2 2
3 2
1
3 2
2 2
1 2
0
1 2
2 2
3 2
1
t g α
0
3 3
1
3
3
1
3 3
0
3 3
1
3
3
1
3 3
0
c t g α
3
1
3 3
0
3 3
1
3
3
1
3 3
0
3 3
1
3