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

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Mathematics JAMB 1986

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

  • \(\frac{3}{39}\)
  • \(\frac{29}{36}\) checkmark
  • \(\frac{14}{5}\)
  • \(\frac{7}{5}\)

The correct answer is: 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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