Mathematics - International - 0607 CIE

Exact Trigonometric Values

Overview

For a few special angles, the sine, cosine and tangent have exact values you can write down without a calculator. Knowing them lets you give exact (surd) answers and check calculator work, and they come straight from two special triangles.

In this lesson (Extended tier) you will learn the exact values of sin and cos for 0, 30, 45, 60 and 90 degrees, and tan for 0, 30, 45 and 60 degrees.

Objectives

  1. Know the exact values of: 1 sin x and cos x for x = 0°, 30°, 45°, 60° and 90°. 2 tan x for x = 0°, 30°, 45° and 60°.

Lesson Note

Exact values let you answer 'give an exact value' questions and verify a calculator. They recur in surds, geometry and later trigonometry.

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Lesson Evaluation

Congratulations on completing the lesson on Exact Trigonometric Values. Now that youve explored the key concepts and ideas, its time to put your knowledge to the test. This section offers a variety of practice questions designed to reinforce your understanding and help you gauge your grasp of the material.

You will encounter a mix of question types, including multiple-choice questions, short answer questions, and essay questions. Each question is thoughtfully crafted to assess different aspects of your knowledge and critical thinking skills.

Use this evaluation section as an opportunity to reinforce your understanding of the topic and to identify any areas where you may need additional study. Don't be discouraged by any challenges you encounter; instead, view them as opportunities for growth and improvement.

  1. What is the exact value of sin 30°? A. 1/2 B. √3/2 C. √2/2 D. 1 Answer: A
  2. What is the exact value of cos 60°? A. √3/2 B. 1/2 C. 1 D. 0 Answer: B
  3. What is the exact value of tan 45°? A. 0 B. 1 C. √3 D. undefined Answer: B
  4. What is sin 45° equal to? A. 1/2 B. √2/2 C. √3/2 D. 1 Answer: B
  5. What is tan 90°? A. 0 B. 1 C. √3 D. undefined Answer: D

Available on the Green Bridge App

Download the Green Bridge CBT app on your phone or computer to access full lesson notes, practice questions, and more.

Full lesson notes with diagrams
AI-powered learning assistant
Study offline, anytime, anywhere
Available on Android, Windows, macOS, and Linux

Available on the Green Bridge App

Download the Green Bridge CBT app on your phone or computer to access full lesson notes, practice questions, and more.

Full lesson notes with diagrams
AI-powered learning assistant
Study offline, anytime, anywhere
Available on Android, Windows, macOS, and Linux

Practice Mock Questions

Want to practice mock questions on Exact Trigonometric Values? Download the Green Bridge CBT app to access mock questions and full practice assessments for this topic.

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