Written by self s• February 26, 2021• 6:50 am• Trig Indentity

What are Basic Trig Identities or Trigonometric Identities?

As an important part of mathematics taught in higher level classes, students learn about Basic Trig Identities or trigonometric identities. In order to learn about trig identities, students are taught the basic concept of trigonometry. Students can download and print these basic trig identities in the form of PDF. They can use this data at anytime to find solutions to equations. In fact, the subject trigonometry is considered as an important branch of mathematics. From these, trig identities have emerged today.

Basic Trig Identities

In general, trig identities are equations derived from the basic concepts of mathematics. Functions constitute these equations. For any variable of input, these trig identities are found to be true. Through the basic functions, it may be seen that there are several trig identities that are derived and evaluated. The three main functions of trigonometry are designated as Sine, Cosine, and Tangent. This is considered as the very first basic trigonometric identity.

In a right-angled triangle where θ is the angle, the Cosine function is written as Cos(θ) = Adjacent side/Hypotenuse side. Sine function is written as sin(θ) = Opposite side/ Hypotenuse side. Tangent function is written as tan(θ) = Opposite side / Adjacent side.

Pythagorean Identity is the most basic trig identity. This is derived from the concept of Pythagoras Theorem. Through the applications of this theorem, it is possible to determine mathematical equations. The Theorem assists the student to establish relationship between angles and lines in a right-angled triangle.

Hyperbolic identities, half-angle identities, and inverse identities are other important trig identities. Hyperbola sin and hyperbola cosine are considered the basic hyperbolic functions. Through this, many other functions can be established. Arcus functions are called inverse trig functions. They are known as trig reciprocal identities of sin, cos, and tan, which cover other functions.