Download these 30+ Free Unit Circle Chart Templates in MS Word & MS Excel as well as in PDF Format to help you understand and create your own Unit Circle Charts quickly.
Students usually have trouble understanding basics and more complex problems of trigonometry which is a very common thing. Although some people will tell you that they didn’t have difficulty getting the ideas of trigonometry functions but that could be because of use of a tool i.e. unit circle. A unit circle is a very common tool that is used to comprehend trigonometry functions. Despite the fact that understanding unit circles seems a boring job but when you truly understand how a unit circle is used and how it can compensate in complex trigonometry calculations, you will find it very helpful. A unit circle has 1 radius or 2 diameters and the interesting thing about it is that it fully suits the Pythagorean Theorem as well.
Key Elements to Understand in Circle Charts:
Know What It is:
A unit circle is a circle that has radius of 1cm or 1 inch and diameter of 2cm or 2 inches. This circle is centered on an origin point which is referred to as 0-0. A unit circle is usually utilized while finding uncommon trigonometric ratios. This same circle also provides help in graphing as well. When you are analyzing trigonometric functions, the real number line that is wrapped around a unit circle also provides extra help.
Understand Six Basic Trigonometric Ratios:
There are 6 basic trigonometric ratios that you need to understand and remember while using a unit circle. The list will include; sinθ, cosθ, tanθ, cosecθ, secθ & cotθ. Once you get the idea about these ratios, it will be easier and more convenient for you to use unit circles.
Grab Understanding about Radian:
There is another way of measuring the angles in a circle and it is known as radian. Basically a radian is the angle that you need to match the enclosed arc length with the ratios length. There is no need to keep the orientation or size of the circle to a specific limit.
Understand how to do Conversion between Radian and Degree:
As you already know that there are 360 degrees or 2π radians in a full circle, you should also understand how to convert each of them into each other. Basically a radian is equal to 180/π degrees or a degree is equal to π/180 radian.
Get to Know the Special Angles:
Basically there is a group of special angles that we use more than other angles in trigonometry. When you are trying to grasp the idea of a unit circle and you want to use it correctly, you should also memorize the special angles due to their frequent use. Special angles include; π, π/2, π/3, π/4 & π/6.
Unit Circle Chart Templates – MS Word
Here are Free Unit Circle Chart Templates in MS Word Format to help you prepare your own Unit Circle Charts.
Unit Circle Chart Templates – PDF
Here are Free Unit Circle Chart Templates in PDF Format to help you prepare your own Unit Circle Charts.
Common Uses and Applications of Unit Circle Charts:
Trigonometry and its common components can appear complex and boring and you might think that even if you learnt all of these problems and equations in high school, you will never find a real life scenario to use them; there are surprising situations where trigonometry can provide extraordinary help. Below are some common applications and uses of unit circles.
Measuring the Height of a Building:
It’s very common that when you see a building, you wonder its height. If you have a long measuring tape or scale, you can just measure the height of the building from its foot to its top but that’s not possible in case it’s a really tall building i.e. Eifel tower. With unit circle understanding, you can just look at the building, do some pretty basic measurements and find out the actual height of the building.
Movement of Characters in Video Games:
You wouldn’t think but trigonometry and especially unit circles play very important role in bringing you the video games that you like so much. When you are playing a video game, you should see that the characters in basic games i.e. super Mario don’t move forward on a straight line but he is always jumping forward on a curved path which is only possible with the help and application of certain trigonometry functions.
Uses of Unit Circle in Construction:
Construction and other fields of civil engineering use wide variety of trigonometry functions and tools on daily basic. From calculating the length or area of a field to measuring an area for costing and material evaluation to measuring height of a structure, there are number of functions used for commonly jobs in construction. In geological surveying, trigonometry is used to measure rough or uneven terrain. Engineers use unit circle charts to evaluate how much load a pillar or beam can hold or if the corner of a building has right angle.
Some of the Further Application of Unit Circles Would include:
Flight staff i.e. pilots and engineers use trigonometry to calculate the time it will take the airplane to reach its destination. In physics, using unit circles and trigonometry, you can find vector components and prepare model of mechanics of waves. Trigonometry is also used in crime scene investigation where it helps to check at which angle a bullet was shot or if something fell on moving traffic, where it came from or something like why a car accident happened.