This section covers the following concepts: Derivatives of tan(x), cot(x), sec(x), and csc(x).

Basic learning objectives

These are the tasks you should be able to perform with reasonable fluency when you arrive at your next class meeting. Important new vocabulary words are indicated in italics.

Advanced learning objectives

In addition to mastering the basic objectives, here are the tasks you should be able to perform after class, with practice:

  • Derive the derivatives of \(y=\tan x\), \(y=\sec x\), \(y=\cot x\), and \(y=\csc x\) from scratch” using only basic derivative rules and trigonometric identities.

  • Differentiate a function for which the derivative involves a combination of these trigonometric functions, and other rules we’ve learned.

  • Use all rules learned so far in the context of a real-world problem to find the slope of a tangent line, the instantaneous rate of change in a function, or the instantaneous velocity of an object.

To prepare for class


Charles Fortin Avatar Charles Fortin
Gabriel Indurskis Avatar Gabriel Indurskis


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