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

Find the value of $\theta$ in the diagram

A.

60^o

B.

100^o

C.

120^o

D.

30^o

View answer & explanation

Correct answer is C

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(- $\frac{1}{2}$ ) = 120^o and 240^o

N.B 0 $\geq$ $\theta$ 360

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