Exact Values Practice Questions

Write down the exact value of $\sin 0^\circ$.

Write down the exact value of $\cos 30^\circ$.

Write down the exact value of $\tan 60^\circ$.

Work out $6\pi + 5\pi$.

Work out $13\pi - 8\pi$.

Work out $4 \times 3\pi$.

Work out the exact amount of juice in each glass.
Give your answer as a fraction of a litre.

Rosa uses a calculator and says each glass contains $0.67$ litres.

Explain why Rosa's answer is not exact.

$\theta$ is an acute angle and $\tan \theta = 1$.

Write down the value of $\theta$.

Circle the exact value of $\sin 60^\circ$.

$\dfrac{1}{2} \qquad \dfrac{\sqrt{2}}{2} \qquad \dfrac{\sqrt{3}}{2} \qquad 1$

Work out the exact value of $\sin 30^\circ + \cos 0^\circ$.
Give your answer as a fraction.

Work out the exact value of $\cos 60^\circ \times \tan 45^\circ$.
Give your answer as a fraction.

$x$ is an angle between $0^\circ$ and $90^\circ$ such that $\sin x = \cos x$.

Write down the value of $x$ and give a reason for your answer.

Work out $6q$.

Work out $p + q$.

Work out $p - 3q$.