Mathematics JAMB Past Questions

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711

solve the equation cos x + sin x = \(\frac{1}{cos x - sinx}\) for values of such that 0 \(\leq\) x < 2\(\pi\)

A. \(\frac{\pi}{2}\), \(\frac{3\pi}{2}\)
B. \(\frac{\pi}{3}\), \(\frac{2\pi}{3}\)
C. 0, \(\frac{\pi}{3}\)
D. 0, \(\pi\)

View Answer & Discuss (2) JAMB 1998

712

From the top of a vertical mast 150m high., two huts on the same ground level are observed. One due east and the other due west of the mast. Their angles of depression are 60o and 45o respectively. Find the distance between the huts

A. 150(1 + \(\sqrt{3}\))m
B. 50(3 + \(\sqrt{3}\))m
C. 150 \(\sqrt{3}\)m
D. \(\frac{50}{\sqrt{3}}\)m

View Answer & Discuss (6) JAMB 1998

713

If y = 243(4x + 5)^-2, find \(\frac{dy}{dx}\) when x = 1

A. \(\frac{-8}{3}\)
B. \(\frac{3}{8}\)
C. \(\frac{9}{8}\)
D. -\(\frac{8}{9}\)

View Answer & Discuss (2) JAMB 1998

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714

Differentiate \(\frac{x}{cosx}\) with respect to x

A. 1 + x sec x tan x
B. 1 + sec² x
C. cos x + x tan x
D. x sec x tan x + secx

View Answer & Discuss (4) JAMB 1998

715

Evaluate ∫\(^{\pi}_{2}\)(sec² x - tan²x)dx

A. \(\frac{\pi}{2}\)
B. \(\pi\) - 2
C. \(\frac{\pi}{3}\)
D. \(\pi\) + 2

View Answer & Discuss (4) JAMB 1998

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