SOLUTION: Derive the formula of derivatives with the angle"x" of the trigonometic fuction using the 4-step differention process. cos(x)

Algebra.Com
Question 1152913: Derive the formula of derivatives with the angle"x" of the trigonometic fuction using the 4-step differention process.
cos(x)

Answer by Edwin McCravy(20065)   (Show Source): You can put this solution on YOUR website!
Before you can prove that, you must first prove two other theorems.

 

and



I will assume you have already proved those.  If you haven't, post again,
asking for those proofs.











Since we are assuming the two theorems at the top, the expression 

 

approaches 0, and the expression

 

approaches 1, so the expression approaches



which is



Edwin

RELATED QUESTIONS

Please, find the maximum extrema for f(x) = cos(x)(cos(x) + 1) using... (answered by Nate)
sketch the graph of the rational function below using the seven step process... (answered by Alan3354)
Using Euler's formula of ea + bi = ea(cos b + i sin b), derive the arisen equation of... (answered by MaxWong)
graph of the fuction... (answered by jim_thompson5910)
Derive the half angle formula for sin( u/2 ) by following the steps below. (a) Use the... (answered by richard1234)
State the shift of y=cos(Ө-π/3). Then Graph the fuction. Thank... (answered by Nate)
derive the formula of the frustum of a... (answered by JulietG)
how do you derive the volume of the sphere formula.. (answered by Alan3354)
Use sum/difference formulas to derive the formula for cos(3x) in terms of cosx. PLEASE... (answered by Edwin McCravy)