Law of Sines and Cosines – Formulas and Examples

Law of Sines and Cosines – Formulas and Examples

The laws of sine and cosine are relations that allow us to find the length of one side of a triangle or the measure of one of its angles. Depending on the information we have available, we can use the law of sines or the law of cosines. The law of sines relates the...
Law of Cosines – Examples and Practice Problems

Law of Cosines – Examples and Practice Problems

The law of cosines is an equation that relates the lengths of two sides of a triangle and their intermediate angle. We can apply the law of cosines when we want to find the length of the third side of a triangle and we know the other two sides and their intermediate...
Law of Sines – Examples and Practice Problems

Law of Sines – Examples and Practice Problems

The law of sines is an equation that allows us to relate the sines of an angle to their respective opposite sides. The law of sines is applied to find the measures of an angle or the length of a side in a triangle. To use the law of sines, we need to know the measures...
Law of Cosines – Examples and Practice Problems

Law of Cosines – Formula, Proof and Examples

The law of cosines is the ratio of the lengths of the sides of a triangle with respect to the cosine of its angle. The law of cosines tells us that the square of one side is equal to the sum of the squares of the other sides minus twice the product of these sides and...
Law of Sines – Examples and Practice Problems

Law of Sines – Formula, Proof and Examples

The law of sines indicates that the ratio of the sides of a triangle and the ratio of the sines of the respective angles are equivalent to each other. The law of sines is used to find an unknown angle or side of a triangle that is not a right triangle. The law of...