The Six Trigonometric Functions
Overview
Additional Mathematics extends trigonometry from the three familiar ratios to all six functions, defined for angles of any size. The three new ones (secant, cosecant and cotangent) are just reciprocals of the originals, and together they unlock a richer set of identities and equations.
In this lesson you will know and use the six trigonometric functions (sine, cosine, tangent, secant, cosecant and cotangent) of angles of any magnitude.
Objectives
- Know and use the six trigonometric functions (sine, cosine, tangent, secant, cosecant and cotangent) of angles of any magnitude.
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Flashcards
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Lesson Note
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Lesson Evaluation
Congratulations on completing the lesson on The Six Trigonometric Functions. 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.
- Which is the definition of sec θ? A. 1/sin θ B. 1/cos θ C. 1/tan θ D. cos θ/sin θ Answer: B
- cosec θ is equal to: A. 1/cos θ B. 1/tan θ C. 1/sin θ D. sin θ Answer: C
- cot θ is equal to: A. 1/sin θ B. cos θ/sin θ C. sin θ/cos θ D. 1/cos θ Answer: B
- What is the value of sec 60° (cos 60° = 1/2)? A. 1/2 B. 1 C. 2 D. √3 Answer: C
- Over what interval do sine and cosine repeat? A. 90° B. 180° C. 360° D. 720° Answer: C
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