Question 1: Evaluate each of the following:
Answer:
Question 2: Find the value of \theta in each of the following:
Answer:
Question 3: Evaluate / Prove the following:
Answer:
Question 4: Express each of the following in terms of trigonometric ratios of angles between and
.
Answer:
Question 5: Prove that:
Answer:
i)
Hence Proved.
ii)
RHS.
Hence Proved.
Question 6: If , prove that:
Answer:
Given
RHS
Hence Proved.
Question 7: If and
are interior angles of triangle ABC, prove that
Answer:
Given
Question 8: Find if
when
is an acute angle.
Answer:
Given
Question 9: If , when
and
are acute angles, find the value of
.
Answer:
Given
Question 10: If and
are interior angles of
, show that
Answer:
i) Given
ii) Similarly,
Question 11: Find the value of for
where
where
Answer:
Question 12: Prove the following:
Answer:
RHS
Hence Proved.
RHS
Hence Proved.
Answer:
Answer:
Answer: