Kabulongagirls/Trigonometry/Chapter 2/The Sine Rule

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The Sine Rule

Let us now look at the Sine Rule



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Objectives
At the end of this session we should be able to
  • state the sine rule
  • apply Sine Rule to calculate the lengths of sides of an angle
  • apply Sine Rule to calculate the sizes of angles
  • apply Sine Rule to solve word problems


The law of sines (sines law, sine formula, sine rule), in trigonometry, is a statement about any triangle in a plane. Where the sides of the triangle are a, b and c and the angles opposite those sides are A, B and C, then the law of sines states:

[math]\frac{a}{\sin A} = \frac{b}{\sin B} = \frac{c}{\sin C} [/math]