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Mathematics 1991 JAMB Past Questions

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31
One angle of a rhombus is 60o. The shorter of the two diagonals is 8cm long. Find the length of the longer one.
  • A. 8\(\sqrt{3}\)
  • B. \(\frac{16}{\sqrt{3}}\)
  • C. \(\sqrt{3}\)
  • D. \(\frac{10}{\sqrt{3}}\)
View Answer & Discuss JAMB 1991
32

If the exterior angles of a pentagon are x°, (x + 5)°, (x + 10)°, (x + 15)° and (x + 20)°, find x

  • A. 118o
  • B. 72o
  • C. 62o
  • D. 36o
View Answer & Discuss (6) JAMB 1991
33
A flagstaff stands on the top of a vertical tower. A man standing 60 m away from the tower observes that the angles of elevation of the top and bottom of the flagstaff are 64o and 62o respectively. Find the length of the flagstaff.
  • A. 60 (tan 62o - tan 64o)
  • B. 60 (cot 64o - cot 62o)
  • C. 60 (cot 62o - cot 64o)
  • D. 60 (tan 64o - tan 62o)
View Answer & Discuss (1) JAMB 1991
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34

Simplify \(\cos^{2} x (\sec^{2} x + \sec^{2} x \tan^{2} x)\)

  • A. tan x
  • B. tanx secx
  • C. \(\sec^2 x\)
  • D. cosec2x
View Answer & Discuss JAMB 1991
35

If cos x = \(\sqrt{\frac{a}{b}}\) find cosec x

  • A. \(\frac{b}{\sqrt{b - a}}\)
  • B. \(\sqrt{\frac{b}{a}}\)
  • C. \(\sqrt{\frac{b}{b - a}}\)
  • D. \(\sqrt{\frac{b - a}{a}}\)
View Answer & Discuss (2) JAMB 1991
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