# Law of sines Calculator

Sines calculator is a really nice calculator and this will help you a lot. This tool is a web-based tool that can be used from anywhere.

#### Input

$$Alpha=105$$ $$Side A=7$$ $$Beta=35$$

#### The Law of Sines Solution

Law of Sines: $${a\over sin A} = {b\over sin B} = {c\over sin C}$$
Put in the values we know: $${a\over sin A} = {7\over sin(35°)} = {c\over sin(105°)}$$
Ignore $$a\over sin A$$ (not useful to us): $${7\over sin(35°)} = {c\over sin(105°)}$$
Now we use our algebra skills to rearrange and solve:
Swap sides: $${c\over sin(105°)} = {7\over sin(35°)}$$
Multiply both sides by $$sin(105°)$$: $$c = ({ 7\over sin(35°) }) × sin(105°)$$
Calculate: $$c = ( {7\over 0.574... }) × 0.966...$$
$$c = 11.8$$

## How to use the sines calculator?

Sines calculator is a really nice calculator and this will help you a lot. This tool is a web-based tool that can be used from anywhere. This calculator works on every device, you can use this tool on a desktop and even on a smartphone. This tool is made for students and any individual who want to use this tool.

Anyone from anywhere can use this tool and this tool can be used from anywhere around the whole world. This tool is really quick that can help your problem really quick. Even if you don't know about this tool you can use this tool and it will solve your problem so you just have to input the number here and you will be good to go.

Or you can have the knowledge about it from our little small Article.

## what is Sines?

The law of sines states that the proportion between the length of a side of a triangle to the sine of the opposite angle is equal for each side:

a / sin(α) = b / sin(β) = c / sin(γ)

This ratio is also equal to the diameter of the triangle's circumcircle (circle circumscribed on this triangle).

Note that you can use this law for any triangle, also for one that isn't a right triangle.

## Law of sines application

You can transform the law of sines formulas to solve some problems of triangulation (solving a triangle). You can use them to find:

1. The remaining sides of a triangle, knowing two angles and one side.
2. The third side of a triangle, knowing two sides and one of the non-enclosed angles. In some cases (ambiguous cases) there may be two solutions to the same triangle. If the following conditions are fulfilled, your triangle may be an ambiguous case:
• You only know the angle α and sides a and c;
• Angle α is acute (α < 90°);
• a is shorter than c (a < c);
• a is longer than the altitude h from angle β, where h = c * sin(α) (a > c * sin(α)).

You can also combine these equations with the law of cosines to solve all other problems involving triangles.

## How to use the sines calculator?

To use this tool you don’t have to worry too much about this. It's really a simple calculator and this tool is really easy to use. It also has a very simple interface. And to use this tool you just have to follow some steps that’s all you have to do.

So to use this tool you just have to follow some very simple steps and that's all you have to do to use this tool.

Now as you can see on your desktop you have this tool that can be really nice and in this tool, you have some boxes where you can fill out the value of your problem.

Please enter your value in the text box and also cross-check it so that you won't get the wrong answer.

After that, you just have to simply click on the calculate button which is below the text box so that you will get the answer.

Tips: you should bookmark this tool so that you can use it later and you don't even have to search for this tool again.

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