Trigonometry - Mathematics Jamb Past Questions and Answers

Question 36 :

• JAMB 1986

If cos\(\theta\) = \(\frac{a}{b}\), find 1 + tan²\(\theta\)

A. \(\frac{b^2}{a^2}\)
B. \(\frac{a^2}{b^2}\)
C. \(\frac{a^2 + b^2}{b^2 - a^2}\)
D. \(\frac{2a^2 + b^2}{a^2 + b^2}\)

Question 37 :

• JAMB 1987

From two points x and y, 8m apart, and in line with a pole, the angle of elevation of the top of the pole are 30^o and 60^o respectively. Fins the height of the pole assuming that x, y and the foot of the pole are the same horizontal plane and x and y are on the same side of the pole.

A. \(\sqrt{6}\)
B. 4\(\sqrt{3}\)
C. \(\sqrt{3}\)
D. \(\frac{12}{\sqrt{3}}\)

Question 38 :

• JAMB 1987

A room is 12m long, 9m wide and 8m high. Find the cosine of the angle which a diagonal of the room makes with the floor of the room

A. \(\frac{5}{17}\)
B. \(\frac{8}{17}\)
C. \(\frac{8}{15}\)
D. \(\frac{12}{17}\)

Question 39 :

• JAMB 1987

What is the circumference of latitude 0°S if R is the radius of the earth?

A. R cos\(\theta\)
B. 2\(\pi\) R cos \(\theta\)
C. R sin \(\theta\)
D. 2\(\pi\) R sin \(\theta\)

Question 40 :

• JAMB 1988

If cot \(\theta\) = \(\frac{x}{y}\), find cosec\(\theta\)

A. \(\frac{1}{y}\)(x² + y²)
B. \(\frac{x}{y}\)
C. \(\frac{1}{y}\)\(\sqrt{x^2 + y^2}\)
D. \(\frac{x - y}{y}\)