1. Announcements & Reminders!
Wednesday, 18th March, 2:05 – 4:10pm:
“Calculus” Revision session (Core 1 and 2 integration & differentiation). If you haven’t reached your target grade in this topic, I expect you to attend!
Friday, 20th March:
Core 1, June 2010 Past Paper DUE
Tuesday, 24th March:
Core 2 Test over Triangle Trigonometry (Independent Study Task)

2. Solving Trig Equations 2 Involving Trig Identities
AS Maths with Liz
Core 2

3. Aims Previous Knowledge
By the end of today’s lesson, you should be able to…
Simplify trig expressions using trig identities
Solve harder trig equations using identities
Previous Knowledge
Sketching the sin, cos, & tan curves
Solving basic trig equations within a given interval

4. Trigonometric Identities
You will need to memorise the following trig identities for Core 2…
For all values of
AND

5. Done!  Example 1 Solution: Show that
Start with left hand side, and rearrange and/or substitute identities until you reach the statement on the RHS.
Look at the statement we are trying to prove…we need to rewrite the problem in terms of cos.
Our identity is:
Done! 
Rearrange…
Replace & simplify!

6. Example 2 Done!  Solution: Show that
Start with left hand side, and rearrange and/or substitute identities until you reach the statement on the RHS.
We need to rewrite the problem in terms of sin.
Our identity won’t work just yet because the cos isn’t squared.
Substitute using identity
Done! 

7. Example 3 Solution: Start by factorising. Continue solving… and
Use graphing method from previous lesson to solve each.
Next, solve this equation!
Mark solution on graph & find other solutions in interval.
Mark solution on graph & find other solutions in interval.

8. Example 4
Solution: This one is tricky because it has both sin and cos in it. Use your identities to get it all in terms of a single trig function.
Solve this equation using graphing technique from previous lesson!
Second solution:

9. Example 5

10. You try!
(a)
(b)

11. Example 6 – Hidden Quadratics

12. You try!

13. Example 7

14. Exam Question June 2013

15. Exam Question – working out

16. Exam Question – working out

17. Exam Question – working out

18. Part bii continued...

19. Mark Scheme

20. Mark Scheme

21. Set Homework Optional Practise Trigonometry & Integration Set Homework
Due Tuesday, 31st March (Blocks: A, B, G)
Due Wednesday, 1st April (Block D)
TEST OVER TOPIC HELD ON ABOVE DUE DATES
Optional Practise
Core 2 Textbook: Pg. 239, Ex. 1D
Core 2 Textbook: Pg. 396, Ex. 9C
mymaths – Trig Equations 2
MEI WS - “AQA Core 2 Trig, Section 2: Trig identities and equations” (ALL Questions)