In mathematics there is one branch known as calculus defines a way of measure of the change in given function with respect to some other value or variable. It will used to find the behavior of the function that is changed according to the given input. It is define how much a value is affected when other value is changed.

It is very much used in the mathematics for various calculations as change in the position of the object with respect to the time is defined as the velocity.

**Derivative of sin** is defined as d sin (s) / d s. In this expression differentiation of the sin function define with respect to x that is equal to cos (s).

It is defined through some steps:

d / d s (sin (s)) = lim h → 0 sin (s+ h) – sin (s) / h,

= lim h → 0 sin (s) cos (h) + cos (s) sin (h) – sin (h) / h ,

= cos (s) [sin (h) / h ] – sin (s) [ 1 – cos (h) / h],

So, d / d s (sin (s)) = cos (s) (1) – sin (s) (0),

= d / d s (sin (s)) = cos (s).

As we prove that the derivative of sin function is equal to the cos function and when we find the derivative of the cos function it is equal to the sin function means derivative of sin and cos function are cos and sin function respectively.

**Formula for Volume of a Sphere** is define as the volume of the three dimensional space that is describe as the volume of the ball and it can be expressed as V = 4 / 3 π r³.**cbse physics syllabus **defines all the related topics of the physics session by session that is provided by the central board of secondary education.

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