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What are the 11 trigonometric identities?

What are the 11 trigonometric identities?

Basic Trigonometric Formulas for Class 11

  • cos (A + B) = cos A cos B – sin A sin B.
  • cos (A – B) = cos A cos B + sin A sin B.
  • sin (A+B) = sin A cos B + cos A sin B.
  • sin (A -B) = sin A cos B – cos A sin B.

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 12 trigonometric identities?

Trinomial Algebra Identities

  • Identity-I: (a + b) (a + c) (b + c) = (a + b + c) (ab + ac + bc) – abc.
  • Identity-II: a2 + b2 + c2 = (a + b + c)2 – 2(ab + ac + bc)
  • Identity-III: a3 + b3 + c3 – 3abc = (a + b + c) (a2 + b2 + c2 – ab – ac – bc)
  • Identity-IV: (a – b) (a – c) = a2 – (b + c)a + bc.

What are the identities of trigonometry?

The eight fundamental trigonometric identities are:

  • cosec θ = 1/sin θ
  • sec θ = 1/cos θ
  • cot θ = 1/tan θ
  • sin2θ + cos2θ = 1.
  • tanθ = sinθ/cos θ
  • 1+ tan2θ = sec2θ
  • cot θ = cosθ/sinθ
  • 1+ cot2θ = cosec2θ

How many identities are there in trigonometry?

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 9 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)=tanα+tanβ1–tanα. tanβ ⁡ ( α + β ) = tan ⁡ ⁡ β 1 – tan ⁡ α .
  • tan(α–β)=tanα–tanβ1+tanα. tanβ ⁡ ( α – β ) = tan ⁡ ⁡ β 1 + tan ⁡

What are the 8 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.

How many standard identities are there?

The Four Basic Identities in Maths Class 8 have Been Listed Below.

Identity I (a+b)2 = a2+2ab+b2
Identity II (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

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