What is the value of cos(x/2) if tan x=1/2 and x is in quadrant III
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We have been given a diagram and we need to find the value of arc angle a.
According to one of the circle theorems the angle at the centre of a circle is twice the angle at the circumference subtended by the same arc.
Therefore, arc angle a will be twice of the angle at circumference, that is, 34 degrees.
Therefore, value of angle a is: