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1. You should be able to find the angle between two intersecting lines in two dimensions.
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2. You should be able to use the sine rule to find side lengths and angles in non-right-angled triangles:
\[
\frac{a}{\sin A} = \frac{b}{\sin B} = \frac{c}{\sin C},
\qquad \text{or} \qquad
\frac{\sin A}{a} = \frac{\sin B}{b} = \frac{\sin C}{c}.
\]
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3. You should be able to use the cosine rule to find side lengths and angles in non-right-angled triangles:
\[
a^2 = b^2 + c^2 - 2bc\cos A,
\qquad \text{or} \qquad
\cos A = \frac{b^2 + c^2 - a^2}{2bc}.
\]
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4. You should be able to find the area of a triangle when the perpendicular height is not known:
\[
\text{Area} = \tfrac{1}{2}ab\sin C.
\]
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5. You should be able to find the angle between two intersecting lines in three-dimensional shapes, and the angle between a line and a plane in three-dimensional shapes.
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6. You should be able to construct diagrams from given information, use trigonometry in questions involving bearings, and use trigonometry in questions involving angles of elevation and depression.
