# Solve Trigonometry Problems Basically, it is the study of triangles where we deal with the angles and sides of the triangle.To be more specific, its all about a right-angled triangle.

Basically, it is the study of triangles where we deal with the angles and sides of the triangle.To be more specific, its all about a right-angled triangle.

Or maybe we have a distance and angle and need to "plot the dot" along and up: Questions like these are common in engineering, computer animation and more. The main functions in trigonometry are Sine, Cosine and Tangent They are simply one side of a right-angled triangle divided by another. It is the ratio of the side lengths, so the Opposite is about 0.7071 times as long as the Hypotenuse. Also try 120°, 135°, 180°, 240°, 270° etc, and notice that positions can be positive or negative by the rules of Cartesian coordinates, so the sine, cosine and tangent change between positive and negative also. Because the radius is 1, we can directly measure sine, cosine and tangent.

For any angle "θ": (Sine, Cosine and Tangent are often abbreviated to Get a calculator, type in "45", then the "sin" key: sin(45°) = 0.7071... Here we see the sine function being made by the unit circle: Note: you can see the nice graphs made by sine, cosine and tangent. Here are some examples: Because the angle is rotating around and around the circle the Sine, Cosine and Tangent functions repeat once every full rotation (see Amplitude, Period, Phase Shift and Frequency).

But before we delve further into this relationship, we must first define some properties of the angle is also equivalent to 360°. One radian is defined as the angle formed such that the portion of the circle (or arc length ) swept by that angle is equal to the radius of the circle.

Thus, logically, we expect trigonometry to have a role in our understanding of circles as well as right triangles.

Note that the negative sign (part c) translates directly from degrees to radians. A small mark is painted at the very top of the tire, and then the tire is rolled forward slightly so that the mark rotates through an angle of pi/4 radians.

How far above the ground is the mark at this point?

Trigonometry helps us find angles and distances, and is used a lot in science, engineering, video games, and more!

The triangle of most interest is the right-angled triangle.

Trigonometry Problems can be solved by the use of trigonometric formulas, however sometimes this conventional method can be time taking.

In our series on Trigonometry we started with discussing- the basics of what is trigonometry, the important formulas and identities and have now come to the 3rd blog.