# Law of Cosines Calculator

This cosine is really a good calculator which will help you solve a lot of your problems. This tool is really nice and really easy to use.

a
b
º

#### Input

$$a=8$$ $$b=11$$ $$c=37$$

#### The Law of Cosines Solution

We know angle $$C =\ 37º,\ and\ sides\ a =\ 8\ and\ b =\ 11$$
The Law of Cosines says: $$c^2\ =\ a^2 + b^2 − 2ab\ cos(C)$$
Put in the values we know: $$c^2 = 82 + 112 − 2 × 8 × 11 × cos(37º)$$
Do some calculations: $$c^2 = 64 + 121 − 176 × 0.798…$$
More calculations: $$c^2 = 44.44...$$
Take the square root: $$c = √44.44 = 6.67$$
Answer: $$c = 6.67$$

#### Formula

$$c^2=a^2 + b^2 − 2ab\ cos(C)$$

## How to use this cosine calculator.

This cosine is really a good calculator which will help you solve a lot of your problems. This tool is really nice and really easy to use. It's also a free and web-based tool that is really nice. This tool can be really helpful for a lot of students and it can also be really helpful for any individual who wants to use this tool so it's really nice.

As as we know this tool is free and web-based then it can be used from any device right, like you can use this tool from desktop and smartphone so it makes it's more user-friendly.

## what is cosine?

Cosine is perhaps the most fundamental mathematical capacities. It very well might be characterized based on the right triangle or unit hover, in analogical route as the sine is characterized:

The cosine of a point is the length of the adjoining side partitioned by the length of the hypotenuse.

cos(α) = nearby/hypotenuse = b/c

Right triangle: delineation of the cosine definition. Adjoining side over a hypotenuse.

In case you don't know what the contiguous and hypotenuse is (and inverse, also), look at the clarification in the sine adding machine.

The name cosine comes from a Latin prefix co-and sine work - so it is a real sense implies sine supplement. What's more, in reality, the cosine capacity might be characterized that way: as the sine of the correlative point - the other non-right point. The shortening of cosine is cos, for example, cos(30°).

Significant properties of a cosine work:

• Reach (codomain) of cosine is - 1 ≤ cos(α) ≤ 1
• Cosine period is equivalent to 2π
• It's an even capacity (while sine is odd!), which implies that cos(- α) = cos(α)
• Cosine definition is fundamental to comprehend the law of cosines - a valuable law to settle any triangle.

### How to use this cosine 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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