# Math Help - Infinite series relations

1. ## Infinite series relations

Sorry I dont know how to type out the equations properly but the links will show each .

How would the derivative of the infinite series of sinx be related to the infinate series of cosx ?

How is negative sinx equivalent to the derivative of the infinite series of cos x?

sinx Sine Definition as an Infinite Series - Calculus - EquationSheet.com

Cos Cosine Definition as an Infinite Series - Calculus - EquationSheet.com

thanks a bunch .

2. Originally Posted by nosh
Sorry I dont know how to type out the equations properly but the links will show each .

How would the derivative of the infinite series of sinx be related to the infinate series of cosx ?

How is negative sinx equivalent to the derivative of the infinite series of cos x?

sinx Sine Definition as an Infinite Series - Calculus - EquationSheet.com

Cos Cosine Definition as an Infinite Series - Calculus - EquationSheet.com

thanks a bunch .
differentiate both and you will see the relationship. of course, it is the same relationship between the derivatives of sine and cosine, since their power series converge. it is just a matter of using the power rule. think of everything but x as a constant, leave the summation sign where it is and differentiate the expression after it

P.S. how is it you can type LaTeX code there, but cannot do it here? all you need to do is put [math[ tags around the code