# Maths Formulas for Physics

**Maths formulas for physics**:

Physics is possible only with the help of mathematics. We need to do a lot of mathematical calculation in Physics.

Mathematics simplifies and helps in solving the problems in physics.

Thus here are some Important mathematics formulas that are needed in physics to solve and simplify any problem:

So Mathematical formulas for physics are:

**Geometry**:

If Radius of a circle = r then:

it’s circumference =

and it’s area =

If radius and height of a right circular cylinder are r and h respectively then:

it’s area =

And it’s volume =

Area of a triangle with base “a” and height “h” is :

**Mathematical Signs and Symbols**:

:- equals

:- Equals approximately

:- is the order of magnitude of

:- is identical to , is defined as

:- is greater than

:- is much greater than

:- is less than

:- is much less than

:- is greater than or equal to , or is no less than

:- is less than or equal to , or is no more than

:- plus or minus

:- is proportional to

:- the sum of

:- the average value of x

**Quadratic formula**:

if is a quadratic equation

then it’s roots or “x” is:

**Trigonometric Functions of angle** :

With reference to the figure following:

a> &

b> &

c> &

**Trigonometric Identities**:

a.

b.

c.

d.

e.

f.

g.

h.

i.

j.

k.

l.

m.

n.

**Pythagorean theorem**:

Referring to the image below:

In the right angled triangle:

**Triangles**:

In the following triangle:

Angles are A , B , C and their corresponding opposite sides are : a , b ,c

Then:

Sine law:

Cosine law:

,

&

**Binomial Theorem**:

**Exponential Expansion**:

**Logarithmic Expansion**:

**Trigonometric Expansions**:

Note: All are in radians.

a.

b.

c.

**Cramer’s Rule**:

Two simultaneous equations in unknown x and y,

and

Have the solutions:

&

**Product of Vectors**:

If , & be unit vectors in the x , y and z directions , Then:

,

And:

& , ,

If is the smaller angle between two vectors & then:

And :

And

**Derivatives and Integrals**:

The letter “u” & “v” used in formulas following stands for any functions of “x”.

And “a” and “m” are constants.

And it should be noted that although it is not specified in the following formulas , to each indefinite integrals should be added an arbitrary constant of integration.

Derivative formulas:

a.

b.

c.

d.

e.

f.

g.

h.

i.

j.

k.

l.

m.

n.

o.

p.

Integral formulas:

a.

b.

c.

d.

e.

f.

g.

h.

i.

j.

k.

k.

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