Solving sine and cos functions

Learn.

1. Adjust domain
2. Move all number to one side
3. Find the inverse
4. Find across adjusted domains
5. 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.