Up until now, you have learned various formulas for different trigonometric identities. It will be a good idea for you to get some practice with the concepts that you have learned. In order to demonstrate your understanding of the concepts, you will have an opportunity to complete an assignment. Please answer the following questions.

1. If sin (x) = 1/2, evaluate each of the following: (3 marks - Knowledge) a) sin(x - pi/2) b) cos(pi/2 - x) c) tan(pi/2 - x)

2. By expressing each angle as a sum/difference of known angles, find an exact expression (i.e., no decimals) for: (6 marks - Thinking and Application)

a) sin(5pi/12)

b) cos(7pi/12)

c) tan(11pi/12)

3. Determine equivalent trigonometric expressions for each of the following. Feel free to use any of the identities that you learned in the previous lessons.

(3 marks - Knowledge)

a) cos(3a + 9b)

b) tan(4a - 3a)

c) 2 sin(x/2) cos(x/2)