Trigonometry - Mathematics Jamb Past Questions and Answers

Question 51 :

• JAMB 1992

Given that \(\theta\) is an acute angle and sin \(\theta\) = \(\frac{m}{n}\), find cos \(\theta\)

A. \(\frac{\sqrt{n^2 - m^2}}{m}\)
B. \(\frac{\sqrt{(n + m)(n - m)}}{n}\)
C. \(\frac{m}{\sqrt{n^2 - m^2}}\)
D. \(\sqrt{\frac{n}{n^2 - m^2}}\)

Question 52 :

• JAMB 1993

The angle between latitudes 30^oS and 13^oN is

A. 17^o
B. 33^o
C. 43^o
D. 53^o

Question 53 :

• JAMB 1993

If sin \(\theta\) = cos \(\theta\), find \(\theta\) between 0o and 360o

A. 45^o, 225^o
B. 135^o, 315^o
C. 45^o, 315^o
D. 135^o, 225^o

Question 54 :

• JAMB 1994

The angle of depression of a boat from the top of a cliff 10m high is 30. How far is the boat from the foot of the cliff?

A. \(\frac{5√3m}{3}\)
B. 5√3m
C. 10√3m
D. \(\frac{10√3m}{3}\)

Question 55 :

• JAMB 1994

What is the value of sin(-690)?

A. \(\frac{\sqrt{3}}{2}\)
B. -\(\frac{\sqrt{3}}{2}\)
C. \(\frac{-1}{2}\)
D. \(\frac{1}{2}\)