Tuesday and Wednesday Lessons – Further Trigonometry and Further Trigonometric Identities (Chap 6 & 7 from C3)

LEARNING OBJECTVIE: Revision of Chap 6 & Chap 7 of C3

Chapter Six

1. The functions secant θ ,cosecant θ and cotangent θ
   
   1. Ex 6A Type Questions
      
2. Graphs of Sec θ, Cosec θ, cot θ
   
   1. Ex 6B type Questions
      
3. Simplify Expressions, prove identities and solve equations involving Sec θ, Cosec θ, cot θ
   
   1. Ex 6C type questions
      
4. Know and use the identities 1+ tan²θ≡ sec²θ and 1+ cot²θ≡ cosec²θ
   
   1. Ex 6D Type Questions
      
5. Use inverse trig functions arcsinx, arcosx and arctan x and their graphs
   
   1. Ex 6E Type Questions
      

Chapter 7

1. Addition Formulae
   
   1. Ex 7A
      
2. Double Angle Formulae
   
   1. Ex 7B
      
3. Using Double angle formula to solve more equations, and prove more identities
   
   1. Ex 7C
      
4. Write expression of the form a cos θ + b sin θ, where a and b are constants, as a sine function only or a cosine function only
   
   1. Ex 7D
      
5. Express sums and differences of sines and cosines as products of sines and/or cosines by using the 'factor formulae'
   
   1. Ex 7E
      
6. 
   

Revision of Trig

Tues 6th Dec – Revision – Numerical Methods

LEARNING OBJECTIVE: To Revise all topics in Numerical Methods Chapter

SUCCESS CRITERIA: You Will be able to get full marks on numerical methods questions in C3 exam paper

LESSON:

Section 1 – Sketch / plot the graph to find where routes are:

See where the solution of the equation changes sign

Doesn't Work When:

1. There is a discontinuity
   
2. There are two roots between tow values
   

Mymaths Lesson

Section 2: rearranging formula and then using an iterative method

Use screen 5 from this MyMthas Lesson

Work Through Mixed Exercises page 55 of C3 Text Book