SOLUTION: Differentiate y=sin(theta) from first principle

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Question 407203: Differentiate y=sin(theta) from first principle
Found 2 solutions by richard1234, robertb:
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
dy%2Fd%28theta%29+=+cos%28theta%29. The derivation comes from the basic definition of the derivative which is what the other tutor did, but you'll go a long way memorizing the derivatives of standard trigonometric functions.

Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
Differentiation from FIRST PRINCIPLES:

Now lim%28h-%3E0%2C+%281-+cosh%29%2Fh%29+=+0%29, and lim%28h-%3E0%2C+sinh%2Fh%29+=+1, hence

Therefore d%28sin%28theta%29%29%2Fd%28theta%29+=+cos%28theta%29