# What are the simple identities of trigonometry?

## What are the simple identities of trigonometry?

List of Trigonometric Identities

- Sin θ = 1/Csc θ or Csc θ = 1/Sin θ
- Cos θ = 1/Sec θ or Sec θ = 1/Cos θ
- Tan θ = 1/Cot θ or Cot θ = 1/Tan θ

### What are the 8 basic trigonometric identities?

Terms in this set (8)

- Reciprocal: csc(θ) = csc(θ) = 1/sin(θ)
- Reciprocal: sec(θ) = sec(θ) = 1/cos(θ)
- Reciprocal: cot(θ) = cot(θ) = 1/tan(θ)
- Ratio: tan(θ) = tan(θ) = sin(θ)/cos(θ)
- Ratio: cot(θ) = cot(θ) = cos(θ)/sin(θ)
- Pythagorean: sin costs = $1.
- Pythagorean: I tan = get sic.
- Pythagorean: I cut = crescent rolls.

#### What are some basic identities?

Some Standard Algebraic Identities list are given below:

- Identity I: (a + b)2 = a2 + 2ab + b2
- Identity III: a2 – b2= (a + b)(a – b)
- Identity IV: (x + a)(x + b) = x2 + (a + b) x + ab.
- Identity V: (a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca.
- Identity VI: (a + b)3 = a3 + b3 + 3ab (a + b)

**How many trigonometric identities are there?**

The 36 Trig Identities You Need to Know. If you’re taking a geometry or trigonometry class, one of the topics you’ll study are trigonometric identities.

**What are the names of the trigonometric identities?**

In this first section, we will work with the fundamental identities: the Pythagorean identities, the even-odd identities, the reciprocal identities, and the quotient identities. We will begin with the Pythagorean identities, which are equations involving trigonometric functions based on the properties of a right triangle.

## How to learn the trig identity without losing your mind?

Trig identities are notoriously difficult to memorize: here’s how to learn them without losing your mind. Starting from the Pythagorean Theorem and similar triangles, we can find connections between sin, cos, tan and friends ( read the article on trig ).

### What does a hexagon do for trig identities?

The hexagon also shows that a function between any two functions is equal to them multiplied together (if they are opposite each other, then the “1” is between them): But Wait, There is More! You can also get the “Reciprocal Identities”, by going “through the 1” Bonus!

#### How are reciprocal and quotient identities related to trigonometric functions?

The reciprocal and quotient identities are derived from the definitions of the basic trigonometric functions. The Pythagorean identities are based on the properties of a right triangle. The even-odd identities relate the value of a trigonometric function at a given angle to the value of the function at the opposite angle.