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In \(\bigtriangleup\)XYZ, determine the cosine of angle Z.

Mathematics
JAMB 1986

In \(\bigtriangleup\)XYZ, determine the cosine of angle Z.

  • A. \(\frac{3}{39}\)
  • B. \(\frac{29}{36}\)
  • C. \(\frac{14}{5}\)
  • D. \(\frac{7}{5}\)
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Correct Answer: Option B
Explanation

cos z = \(\frac{y^2 + x^2 -z^2}{2yx}\)

= \(\frac{9 + 36 - 16}{2(3)(6)}\)

= \(\frac{29}{36}\)

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