If is continuous at x = 0. Find the value of a.

Given: is continuous at x = 0

To find: value of a

Formula used:

f(x) is continuous at x = c where c is any real number

if L.H.L = R.H.L = f(c)

Since, f(x) is continuous at x = 0

f(0) = a

{∵ cos 2x = 1 – 2 sin² x}

⇒ 8(1) = a

⇒ a = 8

Hence, the value of a is 4