Trigonometry - Jamb Mathematics Past Questions and Answers

Question 81:

• JAMB 2009

A cliff on the bank of a river is 300 meter high. if the angle of depression of a point on the opposite side of the river is 60^o, find the width of the river.

A. 100m
B. 75√3 m
C. 100√3m
D. 200√3m

Question 82:

• JAMB 2010

If cot\(\theta\) = \(\frac{8}{15}\), where \(\theta\) is acute, find sin\(\theta\)

A. \(\frac{8}{17}\)
B. \(\frac{15}{17}\)
C. \(\frac{16}{17}\)
D. \(\frac{13}{17}\)

Question 83:

• JAMB 2011

In a right angled triangle, if tan \(\theta\) = \(\frac{3}{4}\). What is cos\(\theta\) - sin\(\theta\)?

A. \(\frac{2}{3}\)
B. \(\frac{3}{5}\)
C. \(\frac{1}{5}\)
D. \(\frac{4}{5}\)

Question 84:

• JAMB 2011

A man walks 100 m due West from a point X to Y, he then walks 100 m due North to a point Z. Find the bearing of X from Z.

A. 195^o
B. 135^o
C. 225^o
D. 045^o

Question 85:

• JAMB 2012

If angle \(\theta\) is 135o, evaluate cos\(\theta\)

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