GCSE Maths OCR J560

Know, derive and apply Pythagoras’ theorem $a^2 + b^2 = c^2$ to find lengths in right-angled triangles in 2D figures.

Apply Pythagoras’ theorem in more complex figures, including 3D figures.

Know and apply the trigonometric ratios, $\sin{\theta}$, $\cos{\theta}$ and $\tan{\theta}$ and apply them to find angles and lengths in right-angled triangles in 2D figures.

see also Similar shapes, 9.04c

Apply the trigonometry of right-angled triangles in more complex figures, including 3D figures.

Know the exact values of $\sin{\theta}$ and $\cos{\theta}$ for $\theta = 0°, 30°, 45° , 60°, 90°$

Know the exact value of $\tan{\theta}$ for $\theta = 0°, 30°, 45°, 60°$

**Know and apply the sine rule,

$\dfrac{a}{\sin{A}} = \dfrac{b}{\sin{B}} = \dfrac{c}{\sin{C}}$

to find lengths and angles.**

**Know and apply the cosine rule,

$a^2 = b^2 + c^2 - 2bc\cos{A}$

to find lengths and angles.**