# Trigonometric Ratios of 30º, 45º, 90º

In this section we are going to give the values of the sine, the cosine and the tangent ratios for some characteristic values of the angle $$x$$.

Rad Gr $$\sin$$ $$\cos$$ $$\tan$$ $$\csc$$ $$\sec$$ $$\cot$$
$$0$$ $$0^\circ$$ $$0$$ $$1$$ $$0$$ $$\infty$$ $$1$$ $$\infty$$
$$\dfrac{\pi}{6}$$ $$30^\circ$$ $$\dfrac{1}{2}$$ $$\dfrac{\sqrt{3}}{2}$$ $$\dfrac{\sqrt{3}}{3}$$ $$2$$ $$\dfrac{2\sqrt{3}}{3}$$ $$\sqrt{3}$$
$$\dfrac{\pi}{4}$$ $$45^\circ$$ $$\dfrac{\sqrt{2}}{2}$$ $$\dfrac{\sqrt{2}}{2}$$ $$1$$ $$\sqrt{2}$$ $$\sqrt{2}$$ $$1$$
$$\dfrac{\pi}{3}$$ $$60^\circ$$ $$\dfrac{\sqrt{3}}{2}$$ $$\dfrac{1}{2}$$ $$\sqrt{3}$$ $$\dfrac{2\sqrt{3}}{3}$$ $$2$$ $$\dfrac{\sqrt{3}}{3}$$
$$\dfrac{\pi}{2}$$ $$90^\circ$$ $$1$$ $$0$$ $$\infty$$ $$1$$ $$\infty$$ $$0$$