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Q6. (a) Fig Q6(a) shows a right - angled triangle with its sides tangential to an inscribed circle.

Given AB = 60 cm and BC cm, calculate the diameter of the circle.     (10)

(b) An alternating current, I milliamps, is given by:

i = 20 sin⁡(100π - 0.4) where t is the time in seconds.

Calculate the least value of t, t > 0, for which the current i = 12 milliamps.      (6)