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
- 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°.
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Mind map
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Flashcards
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Lesson Note
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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.
- What is the exact value of sin 30°? A. 1/2 B. √3/2 C. √2/2 D. 1 Answer: A
- What is the exact value of cos 60°? A. √3/2 B. 1/2 C. 1 D. 0 Answer: B
- What is the exact value of tan 45°? A. 0 B. 1 C. √3 D. undefined Answer: B
- What is sin 45° equal to? A. 1/2 B. √2/2 C. √3/2 D. 1 Answer: B
- What is tan 90°? A. 0 B. 1 C. √3 D. undefined Answer: D
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