**Here is a list of all important mathematical formulas for IBPS PO AND Clerk Exam. Related to algebra, ratio and proportion, percentage, profit loss, speed maths, trignometry,**

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__List of Formula's List for Exam__

## Trigonometry

- 2p radian = 360°
- sin
^{2}A+cos^{2}A = 1 - 1+ tan
^{2}A = sec^{2 }A - 1 + cot
^{2}A = cosec^{2 }A - sin (- q) = – sin q cos (- q) = cos q
- sin (90 – q) = cos q cos (90 – q) = sin q
- sin (90 + q) = cos q cos (90 + q) = – sin q
- sin (180 – q) = sin q cos (180 – q) = – cos q
- sin 2A = 2 sin A cos A

## Statistics

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

## Mensuration

- Area of a triangle = Base × Height
- Area of a triangle = Where 2s = a + b + c
- Area of an equilateral triangle = (side)
^{2} - Area of a rectangle = Length × Breadth
- Area of a parallelogram = Base × Altitude
- Area of a rhombus = (product of diagonals)
- Area of a trapezium = (Altitude) × (sum of parallel sides)
- Circumference of a circle = 2r
- Area of a circle = r
^{2} - Total surface area of cuboid with sides l, b, h = 2 (lb + bh +lh)
- Volume of cuboid = lbh , Surface area of cube = 6 (side)
^{2} - Cylinder >>>> Curved surface area = 2 rh ; Total surface area = 2 r
^{2 }+ 2rh

Volume = r^{2}h

Cone >>>> Vertical height = h ; Slant height = ; Area of curved surface = r - Total surface area = r
^{2}+r Volume=1/3 r^{2}h - Sphere >>>> Surface area = 4r
^{2}; Volume

## Geometry

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

## Algebra

- A
^{2}– B^{2}= (A – B) (A + B) - (A + B)
^{2}= A^{2}+ 2 AB + B^{2} - (A – B)
^{2}= A^{2}– 2 AB + B^{2} - (A + B + C)
^{2}= A^{2}+ B^{2}+ C^{2}+ 2 (AB + BC + CA)

- Quadratic Equations – Any equation of the form ax
^{2}+ 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 = b^{2}– 4ac, which is known as the Discriminant.

## Arithmetic

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

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

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