# What are the 6 identities?

We have the question of what are 6 trigonometric identities. There are six trigonometric identities that are**sine, cosine, tangent, secant, cosecant, and cotangent**.

## What are the 6 trigonometric identities?

They are sine, cosine, tangent, cosecant, secant, and cotangent. All these trigonometric ratios are defined using the sides of the right triangle, such as an adjacent side, opposite side, and hypotenuse side.## What are the 8 basic identities?

THE EIGHT FUNDAMENTAL IDENTITIES

- sin * csc = 1. cos * sec = 1. tan * cot = 1. ...
- 5.) cos/sin * cot = = cot * cot. ...
- sin^2 + cos^2 = 1. 1 + cot^2 = csc^2. tan^2 + 1 = sec^2. ...
- 4.) sin * csc = = sin * 1/sin. ...
- 3.) sin * csc - sin^2 = = 1-sin^2. ...
- Ratio Identities. Exercise.
- 2.) tan * cot = ...
- Made by; Jose Carlo Antonio L. Nasol 10B ©2013.

## What are the 6 trigonometric formulas?

Trigonometric Ratios

- The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec). ...
- sin C = (Side opposite to ∠C)/(Hypotenuse) = AB/AC.
- cos C = (Side adjacent to ∠C)/(Hypotenuse) = BC/AC.

## What are the six sum and difference identities?

The sum and difference identities are used to find the value of trigonometric functions at angles that can be written as the sum or difference of the special angles 0°, 30°, 45°, 60°, 90°, and 180°.## Which are the Six Functions in Trigonometry? | Don't Memorise

## What are the 12 identities in maths?

(a + b)^{2}= a

^{2}+ b

^{2}+ 2ab. (a – b)

^{2}= a

^{2}+ b

^{2}– 2ab. (a + b)

^{3}= a

^{3}+ b

^{3}+ 3ab(a + b) = a

^{3}+ b

^{3}+ 3a

^{2}b + 3ab. (a – b)

^{3}= a

^{3}– b

^{3}– 3ab(a – b) = a

^{3}– b

^{3}– 3a

^{2}b + 3ab.

## What is the 7th identity?

Identity VII: (a – b)^{3}= a

^{3}– b

^{3}– 3ab (a – b) Identity VIII: a

^{3}+ b

^{3}+ c

^{3}– 3abc = (a + b + c)(a

^{2}+ b

^{2}+ c

^{2}– ab – bc – ca)

## Why the there is 6 in trigonometry?

Answer. There are only 6 trigonometric ratios because only 6 ratios can define ratios of all sides. For example, If you want ratio between perpendicular and hypotenuse there is sin.## How do you remember 6 trig functions?

How to memorize the definitions of the trig functions

- Soh. Soh – sine, opposite over hypotenuse. sin(θ)=oppositehypotenuse.
- Cah. Cah – cosine, adjacent over hypotenuse. cos(θ)=adjacenthypotenuse.
- Toa. Toa – tangent, opposite over adjacent. tan(θ)=oppositeadjacent.

## What are the 5 types of identity?

Multiple types of identity come together within an individual and can be broken down into the following: cultural identity, professional identity, ethnic and national identity, religious identity, gender identity, and disability identity.## What are the 9 identities?

Maths Formulas for Class 9 – Algebraic Identities

- (a + b)
^{2}= a^{2}+ 2ab + b. ... - (a – b)
^{2}= a^{2}– 2ab + b. ... - (a + b) (a – b) = a
^{2}-b. ... - (x + a) (x + b) = x
^{2}+ (a + b) x + ab. - (x + a) (x – b) = x
^{2}+ (a – b) x – ab. - (x – a) (x + b) = x
^{2}+ (b – a) x – ab. - (x – a) (x – b) = x
^{2}– (a + b) x + ab. - (a + b)
^{3}= a^{3}+ b^{3}+ 3ab (a + b)

## What are the 5 different types of identities?

Examples of social identities are race/ethnicity, gender, social class/socioeconomic status, sexual orientation, (dis)abilities, and religion/religious beliefs.## What are the 6 types of trigonometric ratios?

Review all six trigonometric ratios: sine, cosine, tangent, cotangent, secant, & cosecant.## What are the 4 types of trigonometry?

The three basic functions in trigonometry are sine, cosine and tangent. Based on these three functions the other three functions that are cotangent, secant and cosecant are derived.## How many identities are there in trigonometry class 11?

Basically, Trigonometry is defined with six main ratios, namely Sine(sin), Cosine(cos), Tangent(tan), Cosecant(cosec), Secant(sec) and Cotangent(cot).## What is θ in trigonometry?

Formulas for right trianglesIf θ is one of the acute angles in a triangle, then the sine of theta is the ratio of the opposite side to the hypotenuse, the cosine is the ratio of the adjacent side to the hypotenuse, and the tangent is the ratio of the opposite side to the adjacent side.

## What is the 6 angle?

All interior angles of a regular hexagon are 120 degrees each. Properties of a Regular Hexagon. All the sides are equal in length. All the interior angles measure 120°. All the exterior angles measure 60°.## What are the six 6 trigonometric functions?

Trigonometry has 6 basic trigonometric functions, they are sine, cosine, tangent, cosecant, secant, and cotangent.## How many trig identities are there?

If you're taking a geometry or trigonometry class, one of the topics you'll study are trigonometric identities.## How many basic trig identities are there?

Trigonometric Identities: Eight Fundamental Trigonometric Identities | SparkNotes.## What is the fourth identity?

Identity-IV: (a – b) (a – c) = a^{2}– (b + c)a + bc.

## How many total identities are there?

There are four basic algebraic identities in maths.## What are the 4 identities?

The standard algebraic identities are:

- (a + b)
^{2}= a^{2}+ 2ab + b. ... - (a – b)
^{2}= a^{2}– 2ab + b. ... - a
^{2}– b^{2}= (a + b)(a – b) - (x + a)(x + b) = x
^{2}+ (a + b) x + ab. - (a + b + c)
^{2}= a^{2}+ b^{2}+ c^{2}+ 2ab + 2bc + 2ca. - (a + b)
^{3}= a^{3}+ b^{3}+ 3ab (a + b) - (a – b)
^{3}= a^{3}– b^{3}– 3ab (a – b)

## What are the 10 algebraic identities?

Algebraic Identities for Class 10

- ( a + b)
^{2}= a^{2}+ 2ab + b^{2} - ( a − b)
^{2}= a^{2}− 2ab + b^{2} - ( a + b)(a – b) = a
^{2}– b^{2} - ( x + a)(x + b) = x
^{2}+ (a + b)x + ab. - ( x + a)(x – b) = x
^{2}+ (a – b)x – ab. - ( x – a)(x + b) = x
^{2}+ (b – a)x – ab. - ( x – a)(x – b) = x
^{2}– (a + b)x + ab. - ( a + b)
^{3}= a^{3}+ b^{3}+ 3ab(a + b)