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The Cosine Rule Non Right-Angled Triangle Trigonometry By the end of this lesson you will be able to explain/calculate the following: 1. An unknown length using the Cosine Rule 2. An unknown angle using the Cosine Rule • The cosine rule is derived from a non-rightangled triangle divided into two right-angled triangles • In this case, Pythagoras’ theorem & the cosine ratio are used to develop it. • The triangle ABC in the figure below has been divided into two right-angled triangles with base sides equal to x and (c − x).