Chapter 05 · Derivatives
05.07
Derivatives of Trigonometric Functions
The derivatives of all six trig functions: proofs for sine and cosine from the limit definition, the other four from the quotient rule, and why radians matter.
About 40 minutes
You'll learn to
- →Prove that the derivative of sin x is cos x, and of cos x is −sin x
- →Explain why the rules need radians
- →Derive and use the derivatives of tan, cot, sec and csc
- →Combine trig derivatives with the product and quotient rules