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.