Answer :

If f is a real function on a subset of the real numbers and c be a point in the domain of f, then f is continuous at c if limxc f(x)=f(c).


Since the function is continuous at x=0


LHL = RHL


LHL:




= a× 1


= a


RHL:




cos 2x = 1 – 2 sin2x





= 1/2


Hence the value of a is .


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