Trigonometry - Jamb Mathematics Past Questions and Answers

Question 16:

• JAMB 2014

If \(\sin\theta = \frac{12}{13}\), find the value of \(1 + \cos\theta\)

A. \(\frac{25}{13}\)
B. \(\frac{18}{13}\)
C. \(\frac{8}{13}\)
D. \(\frac{5}{13}\)

Question 17:

• JAMB 2013

If \(\tan \theta = \frac{3}{4}\), find the value of \(\sin \theta + \cos \theta\).

A. \(1\frac{1}{3}\)
B. \(1\frac{2}{3}\)
C. \(1\frac{3}{5}\)
D. \(1\frac{2}{5}\)

Question 18:

• JAMB 1978

If sec² \(\theta\) + tan² \(\theta\) = 3, then the angle \(\theta\) is equal to

A. 30^o
B. 45^o
C. 60^o
D. 90^o
E. 105^o

Question 19:

• JAMB 1978

Evaluate without using tables sin(-1290^o)

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

Question 20:

• JAMB 1978

The angle of elevation of the top of a vertical tower from a point A on the ground is 60^o. From a point B, 2 units of distance further away from the foot of the tower, the angle of elevation of the tower is 45^o. Find the distance of A from the foot of the tower

A. 3 + \(\sqrt{3}\)
B. 5 + \(\sqrt{3}\)
C. 3 - \(\sqrt{3}\)
D. 1
E. \(\sqrt{3}\) - 1