Trigonometry - Mathematics Jamb Past Questions and Answers

Question 41 :

• JAMB 1988

If \(\cos^2 \theta + \frac{1}{8} = \sin^2 \theta\), find \(\tan \theta\).

A. 3
B. \(\frac{3\sqrt{7}}{7}\)
C. 3\(\sqrt{7}\)
D. \(\sqrt{7}\)

Question 42 :

• JAMB 1988

PQR is a triangle in which PQ = 10cm and QPR = 60^oS is a point equidistant from P and Q. Also S is a point equidistant from PQ and PR. If U is the foot of the perpendicular from S on PR, find the length SU in cm to one decimal place

A. 2.7
B. 4.33
C. 3.1
D. 3.3

Question 43 :

• JAMB 1989

The pilot of an aeroplane, flying 10km above the ground in the direction of a landmark, views the landmark to have angles of depression of 35^o and 55^o. Find the distance between the two points of observation

A. 10(sin 35^o - sin 55^o)
B. 10 cos35^o - cos 55^o
C. 10(tan35^o - tan55^o)
D. 10(cot35^o - cot55^o)

Question 44 :

• JAMB 1989

4sin² x - 3 = 0, find x if 0 \(\geq\) x \(\geq\) 90^o

A. 30^o
B. 45^o
C. 60^o
D. 9^o

Question 45 :

• JAMB 1990

If Cos \(\theta\) = \(\frac{12}{13}\). Find \(\theta\) + cos²\(\theta\)

A. \(\frac{169}{25}\)
B. \(\frac{25}{169}\)
C. \(\frac{169}{144}\)
D. \(\frac{144}{169}\)