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Derivativesof TrigonometricFunctions
LearningObjectives
A studentwill be able to:
- Computethe derivativesof varioustrigonometricfunctions.
Recallfrom Chapter1 that if the anglehis measuredin radians,
and
We now wantto find an expressionfor the derivativeof the six trigonometricfunctionssinx, cosx, tanx,
secx, cscx, and cotx. We first considerthe problemof differentiatingsinx, usingthe definitionof the
derivative.
Since
sin(α+ β) = sin α cos β + cos α sin β.