Trigonometry - Mathematics Jamb Past Questions and Answers

Question 26 :

• JAMB 1981

If sine x equals cosine x, what is x in radians?

A. \(\frac{\pi}{2}\)
B. \(\frac{\pi}{3}\)
C. \(\frac{\pi}{4}\)
D. \(\frac{\pi}{6}\)
E. \(\frac{\pi}{12}\)

Question 27 :

• JAMB 1981

If \(\sin x° = \frac{a}{b}\), what is \(\sin (90 - x)°\)?

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

Question 28 :

• JAMB 1981

Show that \(\frac{\sin 2x}{1 + \cos x}\) + \(\frac{sin2 x}{1 - cos x}\) is

A. Sin x
B. Cos²x
C. 2
D. 3

Question 29 :

• JAMB 1982

If sin \(\theta\) = \(\frac{m - n}{m + n}\); Find the value of 1 + tan2\(\theta\)

A. \(\frac{(m^2 + n^2)}{m + n}\)
B. \(\frac{(m^2 + n^2 + 2mn)}{4mn}\)
C. \(\frac{2(m^2 + n^2 + mn)}{m + n}\)
D. \(\frac{(m^2 + n^2 + mn)}{m + n}\)

Question 30 :

• JAMB 1983

Given that cos z = L , whrere z is an acute angle, find an expression for \(\frac{\cot z - \csc z}{\sec z + \tan z}\)

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