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Derivative of Sin x: Algebraic Proof by ksr131 is a document available to read on EtoBox.
What is Derivative of Sin x: Algebraic Proof about?
The document derives the formula for the derivative of the sine function sin(x) using algebraic proofs. It begins with the definition of the derivative and uses the angle sum identity sin(a+b)=sin(a)cos(b)+sin(b)cos(a) to untangle x from Δx. After simplifying the expression using algebraic facts, it is left with two limits that are familiar from discussions of removable discontinuities. Applying these limits yields the formula for the derivative of sin(x) as cos(x).
- Author
- ksr131
- Language
- EN