Trigonometriska funktionsvärden

Formler från Matematik 3

Trigonometriska funktionsvärden

Ma3

0° (0 rad)

sin⁡0°=0,cos⁡0°=1,tan⁡0°=0\sin 0° = 0, \quad \cos 0° = 1, \quad \tan 0° = 0
Ma3

30° (π/6 rad)

sin⁡30°=12,cos⁡30°=32,tan⁡30°=13\sin 30° = \frac{1}{2}, \quad \cos 30° = \frac{\sqrt{3}}{2}, \quad \tan 30° = \frac{1}{\sqrt{3}}
Ma3

45° (π/4 rad)

sin⁡45°=12,cos⁡45°=12,tan⁡45°=1\sin 45° = \frac{1}{\sqrt{2}}, \quad \cos 45° = \frac{1}{\sqrt{2}}, \quad \tan 45° = 1
Ma3

60° (π/3 rad)

sin⁡60°=32,cos⁡60°=12,tan⁡60°=3\sin 60° = \frac{\sqrt{3}}{2}, \quad \cos 60° = \frac{1}{2}, \quad \tan 60° = \sqrt{3}
Ma3

90° (π/2 rad)

sin⁡90°=1,cos⁡90°=0,tan⁡90°=ej def.\sin 90° = 1, \quad \cos 90° = 0, \quad \tan 90° = \text{ej def.}
Ma3

120° (2π/3 rad)

sin⁡120°=32,cos⁡120°=−12,tan⁡120°=−3\sin 120° = \frac{\sqrt{3}}{2}, \quad \cos 120° = -\frac{1}{2}, \quad \tan 120° = -\sqrt{3}
Ma3

135° (3π/4 rad)

sin⁡135°=12,cos⁡135°=−12,tan⁡135°=−1\sin 135° = \frac{1}{\sqrt{2}}, \quad \cos 135° = -\frac{1}{\sqrt{2}}, \quad \tan 135° = -1
Ma3

150° (5π/6 rad)

sin⁡150°=12,cos⁡150°=−32,tan⁡150°=−13\sin 150° = \frac{1}{2}, \quad \cos 150° = -\frac{\sqrt{3}}{2}, \quad \tan 150° = -\frac{1}{\sqrt{3}}
Ma3

180° (π rad)

sin⁡180°=0,cos⁡180°=−1,tan⁡180°=0\sin 180° = 0, \quad \cos 180° = -1, \quad \tan 180° = 0

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