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# Which of these numbers is an irrational number?

### Question

Which of these numbers is an irrational number?

### Options

A) $$\sin 0^o$$

B) $$\sin 30^o$$

C) $$\sin 60^o$$

D) $$\sin 90^o$$

### Explanation:

$$\sin 0^{\circ} = 0$$
$$\sin 30^{\circ} = 0.5 = \frac{1}{2}$$
$$\sin 60^{\circ} = \frac{\sqrt{3}}{2}$$
$$\sin 90^{\circ} = 1$$
$$\frac{\sqrt{3}}{2}$$ is an irrational number.

## Dicussion (1)

• $$\sin 0^{\circ} = 0$$
$$\sin 30^{\circ} = 0.5 = \frac{1}{2}$$
$$\sin 60^{\circ} = \frac{\sqrt{3}}{2}$$
$$\sin 90^{\circ} = 1$$
$$\frac{\sqrt{3}}{2}$$ is an irrational number.