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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) \(\sin 90^o\)

The correct answer is C.

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.

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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.

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