This trigonometry calculator is a very helpful online tool which you can use in two common situations where you require trigonometry calculations. Use the calculator to find the values of the trig functions without having to perform the calculations manually.
How to use the trigonometry calculator?
One look at this trigonometry calculator and you’ll see how easy it is to understand and to use. This online tool is also known as a sin cos tan calculator or a trig function calculator. Here are the steps to use it:
- First, enter the value of the Angle.
- Then choose the unit of measurement from the drop-down menu.
- After that, the trig function calculator provides you with all of the values of the trig functions.
What is trigonometry?
Trigonometry is one of the branches of mathematics. The term comes from the Greek word “trigōnon” which literally means “triangle” and “metron” which means “measure.” Therefore, trigonometry mostly deals with the measurement of triangles and angles.
Specifically, it’s all about defining and using the ratios and relationships between the sides of triangles. The main application of this branch of mathematics is to solve for triangles, especially right triangles. Trigonometry is very important because you can use it for different applications.
What is trigonometry used for?
Although you may not use trigonometry for direct applications or for solving practical issues, it is commonly used in a lot of different things. Here are some examples of what people use trigonometry for:
- Measuring the height of mountains or buildings
It’s easy for you to solve for the height of mountains and buildings as long as you know how far you are from it and the angle of elevation. You can also solve for this using trigonometry as long as you know the angle of the triangle and one of the sides.
- In construction
You can use trigonometry to solve for the measurement of areas, lots, and fields; making perpendicular and parallel walls; for the installation of ceramic tiles; for the inclination of roofs; and for taking the measurements of buildings.
- In flight engineering
Flight engineers must consider their direction, distance, and speed as well as the direction and speed of the wind. The wind plays a significant role in when and how a plane arrives where it needs to go. You can solve for this by using vectors for the creation of a triangle. Then you can continue with a trigonometric computation.
Use trigonometry to find one side of the triangle to lead your plain in the correct direction. Keep in mind that planes travel with the force exerted by the wind as an add on to the plane’s course.
- In physics
Physicists use trigonometry to solve for the components of vectors, for modeling electromagnetic and physical oscillation and wave mechanics, the total strength of the fields, and for using the cross and dot products. You can also use trigonometry for projectile motion applications.
- In archeology
Archeologists use trigonometry to divide the excavation sites accurately into equal working areas. They also use this during the excavation process to help them find tools and identify them.
- In criminology
Criminologists can use trigonometry to help them solve the trajectory of a projectile. They need this to come up with an estimation of what may have been the cause of a car collision, how an object fell on someone, which angle a bullet came from, and more. This helps them in cracking some very critical cases that would otherwise be impossible to solve.
- In biology
Here, marine biologists can use trigonometry for their measurements. They can use this to solve for the levels of light at varying depths and how these levels impact the ability of plants to photosynthesize; for finding the distances between celestial bodies; for measuring and understanding sea creatures and how they behave; for measuring the size of animals in the wild without having to get close to them, and so on.
- In marine engineering
Marine engineers use trigonometry for building and navigating different kinds of vessels. Specifically, they use it to design Marine ramps which refer to sloping surfaces which connect the higher-level areas to the lower-level areas.
- For navigation
Finally, you can also use trigonometry to set directions. Through it, you can determine which direction to take so you won’t get lost. It’s also used in navigation for finding specific locations, for finding the distance from the shore to a specific point at sea, and more.
How to solve right triangle trigonometry?
Although using a trigonometry calculator to solve for right triangles is a lot easier, you should also learn how to find the value by hand. To do this, you need the following values:
- one angle and one side of the triangle
- two sides of the triangle
- one side and the area of the triangle
As long as you have these values, you can solve right angle trigonometry. For this, you can use the formula for the Pythagorean Theory which is:
a2 + b2 = c2
What are the six basic trigonometric functions?
At the core of trigonometry are six trig functions. The main ones which you must learn about are:
- Sine (sin)
- Cosine (cos)
- Tangent (tan)
You can solve for these using the sin cos tan calculator. Although the other three functions aren’t used frequently, you can derive these from the main functions. The other three functions are:
- Secant (sec)
- Cosecant (csc)
- Cotangent (cot)
What are the six circular functions?
The definition of trigonometric functions allows their domains to be sets of angles while the ranges are sets of real numbers. For circular functions, the domains are sets of numbers which correspond to the radian measures of the analogous trigonometric functions’ angles. The six circular functions are:
- The cosine is cos (θ) =x.
- The sine is sin(θ) =y.
- The secant is sec(θ) =1x as long as x6= 0
- The cosecant is csc(θ) =1y as long as y6= 0
- The tangent is tan(θ) =yx as long as x6= 0
- The cotangent is cot(θ) =xy as long as y6= 0.