Help your students prepare for their Maths GCSE with this free sine rule worksheet of 39 questions and answers
The sine rule is a relationship between the sides of a triangle and the angles opposite them. The sine rule states that ‘’a/sin(A) = b/sin(B) = c/sin(C)’’ where a, b and c are the lengths of the sides and A, B and C are the angles opposite them.
The sine rule can be used to calculate missing sides and missing angles in non right-angled triangles. The sine rule is used when one angle – side pair is known along with one other angle or side. The opposite side or angle can then be worked out. Although the sine rule states three relationships between the sides and their opposite angles, we only need to use two of them at a time.
When finding a missing side length, we can substitute the information we know about other angles and sides into the sine rule and then solve the equation to find the side length. When working out the size of the angle, solving the equation will involve using the inverse trigonometric function.
When working with the sine rule, it is important not to round your answers too early in your calculation and to pay attention to the required number of significant figures or decimal places for your answer.
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