Question 1: Express each of the following as a sum or difference of sine and cosines:

Answer:

Question 2: Prove that:

Answer:

Question 3: Show that:

Answer:

Answer:

RHS

Question 5: Prove that:

Answer:

Question 6: Show that:

Answer:

Question 7: Prove that:

Answer:

Question 8: If , show that the maximum value of is

Answer:

Let

Now we know