List of Mathematical Formula’s

Here is a list of all important mathematical formulas related to algebra, ratio and proportion, percentage, profit loss, speed maths, trignometry,

List of Formulae

Trigonometry

1. 2p radian = 360°
2. sin² A+cos² A = 1
3. 1+ tan² A = sec² A
4. 1 + cot² A = cosec² A
5. sin (- q) = – sin q                      cos (- q) = cos q
6. sin (90 – q) = cos q                  cos (90 – q) = sin q
7. sin (90 + q) = cos q                 cos (90 + q) = – sin q
8. sin (180 – q) = sin q                 cos (180 – q) = – cos q
9. sin 2A = 2 sin A cos A

Statistics

1. The sum of the first n natural numbers, 1 + 2 + 3 +…+ n =

Mensuration

1. Area of a triangle =  Base × Height
2. Area of a triangle =     Where   2s = a + b + c
3. Area of an equilateral triangle = (side)²
4. Area of a rectangle = Length × Breadth
5. Area of a parallelogram = Base × Altitude
6. Area of a rhombus =   (product of diagonals)
7. Area of a trapezium =  (Altitude) × (sum of parallel sides)
8. Circumference of a circle = 2r
9. Area of a circle = r²
10. Total surface area of cuboid with sides l, b, h = 2 (lb + bh +lh)
11. Volume of cuboid = lbh , Surface area of cube = 6 (side)²
12. Cylinder >>>> Curved surface area = 2 rh ; Total surface area = 2 r² + 2rh
    Volume                       = r²h
    Cone >>>> Vertical height = h ; Slant height  = ;  Area of curved surface = r
13. Total surface area = r² +r    Volume=1/3 r²h
14. Sphere >>>> Surface area = 4r² ; Volume

Geometry

1. The sum of two sides of a triangle is greater than the third.
2. The sum of the interior angles of a polygon of n sides  = (n – 2) p.
3. The angle inscribed in any semicircle is p/2.
4. Two tangents can be drawn from any external point to a circle. These are equal in length.
5. Angles in alternate segments are equal.
6. Angles in equal segments are equal.

Algebra

1. A² – B² = (A – B) (A + B)
2. (A + B)² = A² + 2 AB + B²
3. (A – B)² = A² – 2 AB + B²
4. (A + B + C)² = A² + B² + C² + 2 (AB + BC + CA)

1. Quadratic Equations – Any equation of the form ax² + bx + c = 0, a  0, is known as a quadratic equation. Its roots are given by
   Sum of the roots = – b/a , Product of the roots = c/a
   Nature of the roots depends on the quantity D = b² – 4ac, which is known as the Discriminant.

Arithmetic

1.   ; Profit = S.P. – C.P. ; Loss = C.P. – S.P.

1. Simple Interest =  ; Where P = principal, T = time, in years, R = rate

Compound interest = A – P ; Where A = P