Learn.

- Adjust domain
- Move all number to one side
- Find the inverse
- Find across adjusted domains
- Reduce the domain and answers back to domain given

Master.

Question 1. [3 mark]

Find the values of x in the domain [0, 2pi], 1 = (2) sin(2x) – 1

Solve this algebraicly.

Question 2. [2 marks]

Find the values of x in the domain [0, pi], y = (2/3) sin(2x) – 1, find the values of interception with the line y = -1/3.

Solve this graphically.

Question 3. [not an exam style question]

Find the values of x in the domain [-pi, pi], y = (3) cos((1/2)x), find the values of interception with the line y = 1/3.

Solve this graphically and check your answers algebraically.

Answers.

Question 1.

pi/4, 5 pi/4

Question 2.

Question 3.

Ignore this

Find the values of x in the domain [0, 2pi], 0 = (4/3) sin(2x) – 1

Solve this algebraically.