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Lesson Packs · Grade 12 · Mathematics

Derivatives of Trigonometric Functions

Students learn why calculus with angles uses radians, find the derivatives of sine, cosine and tangent, combine them with the chain, product and quotient rules, find second derivatives and tangent lines, and describe oscillating motion.

Unit 2 · Lesson 8 · Derivatives

Preview

Derivatives of Trigonometric Functions — Slide 1
  • Derivatives of Trigonometric Functions — Slide 4
    Slide 4
  • Derivatives of Trigonometric Functions — Slide 9
    Slide 9
  • Derivatives of Trigonometric Functions — Slide 16
    Slide 16
  • Derivatives of Trigonometric Functions — Slide 17
    Slide 17
  • Derivatives of Trigonometric Functions — Worksheet, page 1
    Worksheet, page 1
  • Derivatives of Trigonometric Functions — Answer key, page 1
    Answer key, page 1

Learning objectives

  • Explain why angles must be measured in radians, using lim(x→0) (sin x)/x = 1.
  • Differentiate functions involving sin x, cos x and tan x with the chain, product and quotient rules.
  • Find second derivatives and tangent lines, and describe the velocity and acceleration of an oscillation.

What's inside

  • 37 PowerPoint slides: lesson, worked examples and the worksheet with solutions
  • 10 worksheet questions (33 marks) with step-by-step solutions
  • Printable worksheet (3 pages) and a teacher answer key
  • Fully editable in PowerPoint, Google Slides, Keynote and Word

More lessons in this unit

Questions teachers ask

Can I edit the files?

Yes. The PowerPoint and the Word worksheet are fully editable, so you can change examples, add questions or adapt the design for your class.

How do I use the worksheet slides?

After the teaching slides, each worksheet question appears on its own slide. Let students try it first, then show the next slide and work through the solution together.

Is there an answer key?

Yes. The Word file ends with a teacher answer key that has the answer and a worked solution for every question. It is also included as a separate PDF.

Which languages are available?

Every Lesson Pack is made in 18 languages: English, Simplified Chinese, Hindi, Spanish, Arabic, French, Bengali, Portuguese, Indonesian, Urdu, Vietnamese, Albanian, Italian, German, Turkish, Malay, Greek and Traditional Chinese (Hong Kong).

Do downloads count toward my plan?

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