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Easy Problem Solve Method AP / TG 10th Class Maths Formulas 2025 List of Maths Formulas (All Chapters)

10th Class Maths Formulas 2023

10th Class Maths Formulas 2025 List of Maths Formulas for Class 10 (All Chapters)

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10th Class Maths Formula is an Important and Fundamental Subject for AP & Telangana School Students, and Many Students Regard it as a Difficult Subject Due to its Practical Nature. Mathematics This is a Subject that Includes a lot of Formulas that are Used for Problem-Solving, and it Takes a lot of practice to become a Master of Math Concepts and Formulas. 10th Class Maths Formulas  Consider a Question About the Area or Volume of any object. Then Again, who Doesn’t  Thus, if we are Talking About Basic Maths for Class 10, it is Critical to learn and Revise these Formulas on a Regular Basis. 10th Class Maths Formulas 2025  List of Maths Formulas (All Chapters)

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Maths for SSC / 10th Class

Here is a list of  Important Formulas For Class 10th

  • Formula For:  (a+b)2 = a2 + b2 + 2ab
  • Formula For:  (a-b)2 = a2 + b2 – 2ab
  • Formula For:  (a+b) (a-b) = a2 – b2
  • Formula For:  (x + a)(x + b) = x2 + (a + b)x + ab
  • Formula For:  (x + a)(x –b) = x2 + (a – b)x – ab
  • Formula For:  (a + b)3 = a3 + b3 + 3ab(a + b)
  • Formula For:  (a – b)3 = a3 – b3 – 3ab(a – b)
  • Formula For:  (x – a)(x + b) = x2 + (b – a)x – ab
  • Formula For:  (x – a)(x – b) = x2 – (a + b)x + ab
  • Formula For:  (x + y + z)2 = x2 + y2 + z2 + 2xy + 2yz + 2xz
  • Formula For:  (x + y – z)2 = x2 + y2 + z2 + 2xy – 2yz – 2xz
  • Formula For:  (x – y + z)2 = x2 + y2 + z2 – 2xy – 2yz + 2xz
  • Formula For:  (x – y – z)2 = x2 + y2 + z2 – 2xy + 2yz – 2xz
  • Formula For:  x3 + y3 + z3 – 3xyz = (x + y + z)(x2 + y2 + z2 – xy – yz -xz)
  • Formula For:  x2 + y2 =½ [(x + y)2 + (x – y)2]
  • Formula For:  (x + a) (x + b) (x + c) = x3 + (a + b +c)x2 + (ab + bc + ca)x + abc
  • Formula For:  x3 + y3= (x + y) (x2 – xy + y2)
  • Formula For:  x3 – y3 = (x – y) (x2 + xy + y2)
  • Formula For:  x2 + y2 + z2 -xy – yz – zx = ½ [(x-y)2 + (y-z)2 + (z-x)2]

Basic formulas for powers

  • pm x pn = pm+n
  • {pm}⁄{pn} = pm-n
  • (pm)n = pmn
  • p-m = 1/pm
  • p1 = p
  • P0 = 1

Arithmetic Progression

If the terms of AP are a1, a2, a3, a4, a5, a6,… and d is the common difference between each term, then the sequence is a, a+d, a+2d, a+3d, a+4d, a+5d,….,nth term…, where an is the first term. The nth term for arithmetic progression is now  nth term = a + (n-1) d

Trigonometry Formulas for Class 10

Trigonometry math formulas for Class 10 cover three major functions for a right-angle triangle: Sine, Cosine, and Tangent. In trigonometry, the functions sec, cosec, and cot formulas can also be derived using the sin, cos, and tan formulas.

Trigonometry Formula 

  • Formula For:  Sinθ= 1/ Cosecθ or Sin θ.Cosecθ= 1
  • Formula For:  Cosθ= 1/Secθ or Cos θ.Secθ= 1
  • Formula For:  Tanθ= 1/Cotθ or Tanθ.Cotθ= 1
  • Formula For:  Sin (A+B)= SinA.CosB + CosA.SinB
  • Formula For:  Sin (A-B)= SinA.CosB – CosA.SinB
  • Formula For:  Cos (A+B)= CosA.CosB- SinA.SinB
  • Formula For:  Cos (A-B)= CosA.CosB SinA.SinB
  • Formula For:  Tan (A+B)= (TanA + TanB)/ (1-TanA TanB)
  • Formula For:  Tan (A-B)= (TanA- TanB)/ (1+TanA TanB)
Angle 0° 30° 45° 60° 90°
Sinθ 0 1/2 1/√2 √3/2 1
Cosθ 1 √3/2 1/√2 ½ 0
Tanθ 0 1/√3 1 √3 Undefined
Cotθ Undefined √3 1 1/√3 0
Secθ 1 2/√3 √2 2 Undefined
Cosecθ Undefined 2 √2 2/√3 1

Other Trigonometric formulas:

  1. Formula For:  sin(90° – θ) = cos θ
  2. Formula For cos(90° – θ) = sin θ
  3. Formula For:  tan(90° – θ) = cot θ
  4. Formula For: cot(90° – θ) = tan θ
  5. Formula For: sec(90° – θ) = cosecθ
  6. Formula For: cosec(90° – θ) = secθ
  7. Formula For:  sin2θ + cos2 θ = 1
  8. Formula For:  sec2 θ = 1 + tan2θ for 0° ≤ θ < 90°
  9. Formula For:  Cosec2 θ = 1 + cot2 θ for 0° ≤ θ ≤ 90°

Circles Formulas For Class 10

  1. Formula For:  Circumference of the circle = 2πr
  2. Formula For:  Area of the circle = πr2
  3. Formula For:  Area of the sector of angle θ = (θ/360) × πr2
  4. Formula For:  Length of an arc of a sector of angle θ = (θ/360) × 2πr (r = radius of the circle)

Surface Area and Volume Formulas For SSC

The formula for Diameter of the sphere 2r
The formula for Surface Area of the Sphere 4 πr2
The formula for Volume of the Sphere 4/3 πr3

Cylinder Formulas

Curved surface area of the Cylinder 2πrh
Area of two circular bases 2πr2
Total surface area of Cylinder Curved surface area of Cylinder + Area of Circular bases = 2 πrh + 2 πr2
Volume of Cylinder πr2h

Cone Formulas

Slant Height of  the cone l = √(r2 + h2)
Curved Surface Area of The Cone πrl
Total surface area of The cone πr (l + r)
Volume of The cone ⅓ π r2 h

Cuboid Formulas

The perimeter of the cuboid 4(l + b +h)
Length of the longest diagonal of the  cuboid √(l2 + b2 + h2)
The total surface area of the cuboid 2(l×b + b×h + l×h)
Volume of the Cuboid l × b × h

Additional Maths Formulas for Class 10 Trigonometry

  • Formula For:  sin θ = Side opposite angle θ/ Hypotenuse = Perpendicular/Hypotenuse= P/H
  • Formula For:  cos θ = Adjacent side by angle θ/ Hypotenuse= Adjacent side/ Hypotenuse= B/H
  • Formula For:  tan θ = Side opposite by angle θ/ Adjacent side to angle θ
  • Formula For:  sec θ = 1/ cosθ
  • Formula For:  cot θ = 1/ tanθ
  • Formula For:  cosec θ = 1/ sinθ
  • Formula For:  tan θ = Sinθ/ Cosθ
  • Formula For:  sin (90° – θ) = cos θ
  • Formula For:  cos (90° – θ) = sin θ
  • Formula For:  tan (90° – θ) = cot θ
  • Formula For:  cot (90° – θ) = tan θ
  • Formula For:  sec (90° – θ) = cosecθ
  • Formula For:  cosec (90° – θ) = secθ
  • Formula For:  sin2θ + cos2 θ = 1
  • Formula For:  sec2 θ = 1 + tan2θ for 0° ≤ θ < 90°
  • Formula For:  Cosec2 θ = 1 + cot2 θ for 0° ≤ θ ≤ 90°

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