The diagram shows a circle with radius 1cm, centre O. Triangle AOB is right angled and its

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The diagram shows a circle with radius 1cm, centre O.
Triangle AOB is right angled and its hypotenuse AB is a tangent to the circle at P.
Angle BAO = x radians.

a. Find an expression for the length of AB in terms of tan x.

b. Find the value of x for which the two shaded areas are equal.

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