Find the value of (theta) in the diagram
-
A.
60o -
B.
100o -
C.
120o -
D.
30o
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