Question 1: Express each of the following as the product of sines and cosines:

Answer:

Question 2: Prove that:

Answer:

Question 3: Prove that:

Answer:

Question 4: Prove that:

Answer:

Question 5: Prove that:

Answer:

Question 6: Prove that:

Answer:

Question 7: Prove that:

Answer:

Question 8: Prove that:

Answer:

RHS

RHS

RHS

RHS

Question 9: Prove that:

Answer:

Question 10: If and , prove that:

Answer:

and

Dividing one by another

Question 11: If , then prove that

Answer:

Answer:

Applying componendo and dividendo

Hence proved.

Question 13: Prove that:

Answer:

Question 14: If

Answer:

Dividing both sides by

Hence proved.

Question 15: If , then prove that

Answer:

Dividing both sides by

Hence proved.

Question 16: If , prove that

Answer:

Applying componendo and dividendo

Hence proved.

Question 17: If , prove that

Answer:

Divide both sides by we get

Hence proved.

Question 18: If

Answer:

Question 19: If

Answer:

Applying componendo and dividendo

Hence proved.