Why do we need to Study Trigonometric Functions ?

Without knowing Trigonometric functions, we wouldn’t be able to solve Probems in, Science, Engineering, Technology, Artificial Intelligence, Architecture and Medicine. Now it is important to know that all of the Developments in the World that we live in owes its dues to the above Areas. For what could we do without these Modern Marvels that had totally eased many of the challenges.

Now it is also important to know that the gadgets made using modern technology will have issues and one need to troubleshoot them. So in order to be able to troubleshoot, you need to understand how they work, and to understand how they work, you need Trigonometric functions. Of course there are other areas too that work together, but as for the Math part is concerned, learning and knowing Trigonometric functions is of critical importance.

Try this: Sketch -135 degrees in Standard form Sketch 240 degrees in Standard form

Now having studied and understood what an Angle is and how they are measured, let us now study the different types of Angles that we would encounter during this Course

Types of Angles

There are 5 Types of Angles, they are, Acute Angle, Right Angle, Obtuse Angle, Straight Angle and Reflex Angle.

Acute Angle : Angles that are between 0 degrees and 90 degrees.

Right Angle: Angles which are strictly 90 degrees.

Obtuse Angle: Angles which are between 90 degrees and 180 degrees. The Obtuse is from the Latin word Obtusus, meaning “Dull” or “blunt”, something which isn’t sharp.

Straight Angle: Angles which are 180 degrees

Reflex Angles: Angles which are between 180 degrees and 360 degrees.

Degrees, Minutes and Seconds (DMS)

Here we will learn how to convert a given Coordinate system in DMS into complete Degrees.

Convert 36o23’40” to decimal degrees

36o = 36o

We don’t need to do anything with the Degree part.

23′ =  23/60 = 0.38333o

40″ = 40/3600 = 0.01111o

Now Adding all we get = 36.3944o

What is a Radian measure ?

Now Let us Understand the Unit Circle

Understanding the Unit Circle is very Important. For one part of Trigonometry completely deals with Using concepts of the Unit Circle to solve Problems. Hence it is important that every Student puts in time and effort in memorizing this golden code.