Pythagoras’ theorem and right-angled trigonometry

By the end you’ll be able to

• Use Pythagoras’ theorem to find missing sides in right-angled triangles, and test whether a triangle is right-angled
• Use $\sin$, $\cos$ and $\tan$ to find sides and angles in right-angled triangles, including angles of elevation and depression and bearings
• Know the exact values of $\sin\theta$ and $\cos\theta$ for $\theta = 0^\circ, 30^\circ, 45^\circ, 60^\circ, 90^\circ$ and $\tan\theta$ for $\theta = 0^\circ, 30^\circ, 45^\circ, 60^\circ$, and use them without a calculator