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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.

MathematicsGrade 12Unit 2 · Lesson 8G12-MAT-08
Slide 1
Derivatives of Trigonometric Functions — Slide 1
+32in the download
37slides: lesson, examples and worksheet
10worksheet questions
33marks in total
3 + 4worksheet + answer key pages

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 Unit 2

All Grade 12 Mathematics lessons

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?

Yes. Sign in with your free KiwiBee account to download. A whole lesson pack counts as one download toward your plan's daily and monthly download limit, the same as a single worksheet.

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