## What are the examples of trigonometric identities?

Summarizing Trigonometric Identities
• cos 2 θ + sin 2 θ = 1 cos 2 θ + sin 2 θ = 1.
• 1 + cot 2 θ = csc 2 θ 1 + cot 2 θ = csc 2 θ
• 1 + tan 2 θ = sec 2 θ 1 + tan 2 θ = sec 2 θ

## What are the 12 trigonometric identities?

Sum and Difference of Angles Trigonometric Identities
• sin(α+β)=sin(α). cos(β)+cos(α). sin(β)
• sin(α–β)=sinα. cosβ–cosα. sinβ
• cos(α+β)=cosα. cosβ–sinα. sinβ
• cos(α–β)=cosα. cosβ+sinα. sinβ
• tan. ⁡ ( α + β ) = tan ⁡ ⁡ β 1 – tan ⁡ α . tan. ⁡ β
• tan. ⁡ ( α – β ) = tan ⁡ ⁡ β 1 + tan ⁡ α . tan. ⁡

## How do you solve trigonometric identities?

5 strategies you can use to solve TRIG IDENTITIES
1. See what you can FACTOR. Sometimes, factoring with a common term will make everything into a trig identity. …
2. Multiply the denominator by a CONJUGATE. …
3. Get a COMMON DENOMINATOR. …
4. SPLIT UP A FRACTION into two separate fractions. …
5. Rewrite everything in terms of SINE AND COSINE.

## What are the 10 trigonometric identities?

Practice Questions From Class 10 Trigonometry Identities
• Prove √(sec θ – 1)/(sec θ + 1) = cosec θ – cot θ
• Prove (tan θ + sec θ – 1)/(tan θ – sec θ + 1) = (1 + sin θ)/cos θ
• Prove sec θ√(1 – sin2 θ) = 1.
• Given, √3 tan θ = 3 sin θ. Prove sin2 θ – cos2 θ = 1/3.
• Evaluate cos2 θ tan2 θ + tan2 θ sin2 θ in terms of tan θ.

## What are the 6 trigonometric identities?

The six trigonometric functions are Sine, Cosine, Tangent, Secant, Cosecant and Cotangent.

## What is the easiest way to solve trigonometric identities Class 10?

Make a point of memorizing them.
1. Quotient Identities: tan(x) = sin(x)/cos(x) cot(x) = cos(x)/sin(x)
2. Reciprocal Identities: csc(x) = 1/sin(x) sec(x) = 1/cos(x) cot(x) = 1/tan(x) sin(x) = 1/csc(x) …
3. Pythagorean Identities: sin2(x) + cos2(x) = 1. cot2A +1 = csc2A. 1+tan2A = sec2A.

## 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 are the 6 reciprocal identities?

The formulas of the six main reciprocal identities are:
• sin x = 1/cosec x.
• cos x = 1/sec x.
• tan x = 1/cot x.
• cot x = 1/tan x.
• sec x = 1/cos x.
• cosec x = 1/sin x.

## What are the 3 identities of trigonometry?

The main trigonometric identities are Pythagorean identities, reciprocal identities, sum and difference identities, double angle and half-angle identities. For the non-right-angled triangles, we will have to use the sine rule and the cosine rule.

## What are all the formulas of trigonometry?

Basic Trigonometric Function Formulas
• sin θ = Opposite Side/Hypotenuse.
• cos θ = Adjacent Side/Hypotenuse.
• tan θ = Opposite Side/Adjacent Side.
• sec θ = Hypotenuse/Adjacent Side.
• cosec θ = Hypotenuse/Opposite Side.
• cot θ = Adjacent Side/Opposite Side.

## What is cot θ is equal to?

The reciprocal tangent function is cotangent, expressed two ways: cot(theta)=1/tan(theta) or cot(theta)=cos(theta)/sin(theta).

## Who is the father of trigonometry?

mathematician Hipparchus
The first known table of chords was produced by the Greek mathematician Hipparchus in about 140 BC. Although these tables have not survived, it is claimed that twelve books of tables of chords were written by Hipparchus. This makes Hipparchus the founder of trigonometry.

## Is csc sin or cos?

The secant of x is 1 divided by the cosine of x: sec x = 1 cos x , and the cosecant of x is defined to be 1 divided by the sine of x: csc x = 1 sin x .

## What is equal to Tanθ?

tan θ = sin θ / cos θ

## What is cosec (- theta?

Cosec theta of a right-angled triangle is equal to the ratio of the length of the hypotenuse to the length of the opposite side.