Description
prove the derivative of sin is cos
Explanation & Answer
For this proof, we can use the limit definition of the derivative.
Limit Definition for sin:
Using angle sum identity, we get
Rearrange the limit so that the sin(x)'s are next to each other
Factor out a sin from the quantity on the right
Seperate the two quantities and put the functions with x in front of the limit (We are only concerned with the limit of h)
We can see that the first limit converges to 1
and the second limit converges to 0.
We can plug in 1 and 0 for the limits and get cos(x)
(source:)Review
Review
24/7 Homework Help
Stuck on a homework question? Our verified tutors can answer all questions, from basic math to advanced rocket science!
Similar Content
Related Tags
Freakonomics
by Stephen J. Dubner and Steven D. Levitt
The Iliad
by Homer
Narrative of the Life of Frederick Douglass
by Frederick Douglass
I Cant Make This Up - Life Lessons
by Kevin Hart
The Red Badge of Courage
by Stephen Crane
Unf*ck Yourself
by Gary John Bishop
Calypso
by David Sedaris
Milkweed
by Jerry Spinelli