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Posted on April 24, 2022 (Updated on July 9, 2025)

How do you use the law of sines and cosines to solve a triangle?

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How do you use the law of sin to solve a triangle?

Video quote: Side a over sine a is equal to B over sine B which equals C over sine C. So you could use this equation. Which is known as the law of sines to find any myths and angles or sides in a triangle.

Can you solve a triangle using cosine law?

The Law of Cosines is used to find the remaining parts of an oblique (non-right) triangle when either the lengths of two sides and the measure of the included angle is known (SAS) or the lengths of the three sides (SSS) are known.

How do you solve a triangle using cosine?

Video quote: So whenever you have all different letters you cannot use the law of sines to solve it however there's something else that we can use and that is the law of cosines.

How do you use the law of cosines?

Video quote: But suppose we also knew the angle in between them. So the angle of C it says we can figure out the angle C by using the formula C squared equals a squared plus B squared. Minus 2 a B cosine C.

When can we use the law of cosines?

The Law of Cosines states that: Use the law of cosines when you are given SAS, or SSS, quantities. For example: If you were given the lengths of sides b and c, and the measure of angle A, this would be SAS. SSS is when we know the lengths of the three sides a, b, and c.

Is AAS law of sines or cosines?

“AAS” is when we know two angles and one side (which is not between the angles). then The Law of Sines to find each of the other two sides.

When can u use law of sines?

Practice set 1: Solving triangles using the law of sines



This law is useful for finding a missing angle when given an angle and two sides, or for finding a missing side when given two angles and one side.

Can the Law of Cosines be used to solve any triangle for which two angles and a side are known?

That is, given some information about the triangle we can find more. In this case the tool is useful when you know two sides and their included angle. From that, you can use the Law of Cosines to find the third side. It works on any triangle, not just right triangles.

What is the difference between law of sines and cosines?

The law of sines uses only two sides and the angles the are opposite them while the law of cosines uses all three sides and only one of the sides opposite an angle. The law of sines uses the sine ratio while the law of cosines uses the cosine ratio.

How do you remember the sine and cosine rule?

Video quote: We can use either the sine or the cosine run to find the missing side angle. You should know that the sine rule is one complete pair and half of the second pass.

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