mathematics grade 11

Introduction

this task will cover the trigonometric topic

Task

without the use of calculator  simplifying, prove, expand and evaluate the expressions  using compound angles, trig ratios and double angles.

watch the video and answer the provided questions.

https://www.youtube.com/watch?v=PUB0TaZ7bhA

 

Process

GRADE 11   MATHEMATICS TASK ( Trigonometry)

  • answer all questions
  • without the use of a calculator

 

Question 1

Expand using the compound angle identities

Question 1a exercise 5.5 page 138

  1. Sin (x+20)

Question 1d exercise 5.5 page 138

      d) cos(x-2y)

question 1e exercise 5.5 page 138

      e) sin(2A+20)

Question 2

Using the compound angle identities to simplify each expression to one term only

Question 2b exercise 5.5 page 138

  1. Sin2AcosA+cos2AsinA

Question 2c exercise 5.5 page 138

  1. Cos5XcosX+sin5XsinX

Question 2f exercise 5.5 page 138

       f)  sin 2PcosP-cos2PsinP

Question 3

Evaluate without using a calculator

Question 3b exercise 5.5 page 138

      b) cos40cos20-sin40sin20

question 3c exercise 5.5 page 138

      C) cos75cos15+sin75sin15

Question 3d exercise 5.5 page 138

  1. Sin20cos40+cos20sin40
Evaluation

Rubric

 

MARKS

Understanding trig ratios 

/4

Well implementation of double angles

/4

Well implementation of compound angles

/4

Proof of not using the calculator

/3

 

TOTAL 15

 

Conclusion

this task will allow you to understanding the trigonometric topic at this level

Teacher Page

practice more and consult more material of mathematics for example textbooks and study guides