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Find the value of \(\theta\) in the diagram

Mathematics
JAMB 2001

Find the value of \(\theta\) in the diagram
  • A. 60o
  • B. 100o
  • C. 120o
  • D. 30o
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Correct Answer: Option C
Explanation
Using cosine formula (t\(\sqrt{3}\))2 = t2 + t2 - 2t2 cos\(\theta\)

3t2 = 2t2 - 2t2 cos\(\theta\) = 2t2(1 - cos\(\theta\))

1 - cos\(\theta\) = \(\frac{3t^2}{2t^2}\) = \(\frac{3}{2}\)

cos = 1 - \(\frac{3}{2} = -\frac{1}{2}\)

\(\theta\) = cos-1(-\(\frac{1}{2}\)) = 120o and 240o

N.B 0 \(\geq\) \(\theta\) 360

There is an explanation video available below.


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Explanation Video

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