when to use sine rule and cosine rule The sine rule can be used to find an angle from 3 sides and an angle or a side from 3 angles and a side The cosine rule can find a side from 2 sides and the included angle or an angle
If a b and c are the lengths of the sides opposite the angles A B and C in a triangle then a b c sinA sinB sinC If you wanted to find an angle you can write this as sinA sinB sinC a b c This video shows you how to use the Sine rule The The sine rule can be used to find an angle from 3 sides and an angle or a side from 3 angles and a side The cosine rule can find a side from 2 sides and the included angle or an angle
when to use sine rule and cosine rule
when to use sine rule and cosine rule
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Tutorial on the law of sines and cosines and on how to decide which formula to use in triangle problems We can use the sine rule to work out a missing length or an angle in a non right angle triangle to use the sine rule we require opposites i e one angle and its opposite length The sine rule is used when we are given either a two angles and one side or b two sides and a non included angle
But most triangles are not right angled and there are two important results that work for all triangles Sine Rule In a triangle with sides a b and c and angles A B and C sin A a sin B b sin C c Cosine Rule In a triangle with sides a b and c and angles A B and C Devise a strategy using the Sine Rule and the Cosine Rule to calculate BDC and ACD exactly It is worth reflecting on what the Cosine Rule really tells us i if in a triangle we know any two sides a and b and the included angle C
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When do we apply Sine Rule 1 identify the unknown angle or side and its known opposite side or angle 2 identify another pair of known angle and its known opposite side 3 apply Sine Rule and write the unknown in the numerator of the formula Sine Rule Example 1 given 2 angles and 1 side The sine rule is an important rule relating the sides and angles of any triangle it doesn t have to be right angled If a b and c are the lengths of the sides opposite the angles A B and C in a triangle then If you wanted to find an angle you can write this as The Cosine Rule This also works in any triangle c 2 a 2 b 2 2abcosC
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when to use sine rule and cosine rule - But most triangles are not right angled and there are two important results that work for all triangles Sine Rule In a triangle with sides a b and c and angles A B and C sin A a sin B b sin C c Cosine Rule In a triangle with sides a b and c and angles A B and C