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How do you use the law of sines?

Updated: 4/28/2022
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12y ago

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The Law of Sines can be used to find unknown parts (a side or angle) of a triangle. For example if you know 2 angles and a side, or if you know 2 sides and 1 angle (depending on how they are oriented). Visit the Maths Is Fun site (link posted below) for a more graphical explanation.

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Q: How do you use the law of sines?
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When do you use law of sine?

There are several cases when you would want to use the law of sines. When you have angle angle side, angle side angle, or angle side side you would use the law of sines.


When do you use law of sines and law of cos sines?

Use Law of Sines if you know:Two angle measures and any side length orTwo side lengths and a non-included angle measure.Use Law of Cosines if you know:Two side lengths and the included angle measure orThree side lengths.


Proof of 30-60-90 theorem?

Use the law of sines.


Can you use the Law of Sines to find a missing angle measure in this triangular roof?

no #9


Describe the three situations when you can use the Law of Sines?

The tricky part of the law of sines is knowing when you are able to use it. Whether you can use the law of Sine's or not depends on what information you have or were given. In some cases the information you were given could make two different triangles. There are three times when you can use the law of sines. One example of when you can use it is when you have the length of a side and the measures of both the angles that that side is adjacent to. This is called angle side angle or asa for short. Another time when you can use the law of sines is when you are given the measures of two angles and a side that is outside the angles. This is called aas. Finally the last case where you can use the law of sines is when you have two side lengths and the measure of an angle. Math teachers refer to this one as ssa, I remember that this one is special. If you are given the measure of an angle and two sides you could have two different triangles.


Does the transitive property apply for the law of sines?

No, it does not.


Why Lami's theorem cannot be used for 4 concurrent forces?

Because, this theorem comes from the law of sines which is completely a triangle law and the law of sines can not be applied on other polygons.


When can you use the sine law?

The tricky part of the law of sines is knowing when you are able to use it. Whether you can use the law of Sine's or not depends on what information you have or were given. In some cases the information you were given could make two different triangles. There are three times when you can use the law of sines. One example of when you can use it is when you have the length of a side and the measures of both the angles that that side is adjacent to. This is called angle side angle or asa for short. Another time when you can use the law of sines is when you are given the measures of two angles and a side that is outside the angles. This is called aas. Finally the last case where you can use the law of sines is when you have two side lengths and the measure of an angle. Math teachers refer to this one as ssa, I remember that this one is special. If you are given the measure of an angle and two sides you could have two different triangles.


Can ASA work with the law of sines?

Yes. If you have two angles, by implication, you have all three. You therefore have a pair of opposite angle and side so that the law of sines can be applied.


What situation would you be FORCED to use law of cosines as opposed to law of sines?

When none of the angles are known, and using Pythagoras, the triangle is known not to be right angled.


How do you find a missing side of a triangle without a right angle?

Having sufficient angles or sides one can use either, The Law of Sines, or, The Law of Cosines. Google them.


When would you use the law of sines or law of cosines instead of a trigonometric ratio?

Trigonometric ratios, by themselves, can only be used for right angled triangles. The law of cosines or the sine law can be used for any triangle.