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SECTION 3.4: DERIVATIVES OF TRIGONOMETRIC FUNCTIONS
www.kkuniyuk.com(Section 3.4: Derivatives of Trigonometric Functions) 3.4.3 We conjecture that gx ()= sinx. If f is the sine function from Part A, then we also believe that fx ()= gx ()= sinx. We will prove these in Parts D and E. PART C: TWO HELPFUL LIMIT STATEMENTS Helpful Limit Statement #1 lim h 0 sinh h =1 Helpful Limit Statement #2 lim h 0 cosh 1 h
Derivatives of Trigonometric Functions
www.ocf.berkeley.eduThe derivatives of cos(x) have the same behavior, repeating every cycle of 4. The nth derivative of cosine is the (n+1)th derivative of sine, as cosine is the first derivative of sine. Knowledge of the derivatives of sine and cosine allows us to find the derivatives of all other trigono-metric functions using the quotient rule.