Answer:
(a) Let f(x) = g(x) + h(x)
g(x) = sin x and h(x) = cos x. Since sine and cosine functions are everywhere continuous. Therefore f(x) = g(x) + h (x) is also continuous Sum of continuous functions also continuous)
(b) Being difference of continuous functions [(sine and cosine functions are every where continuous] f is continuous.
(c) Being product of continuous function (sine and cosine are everywhere continuous).
f is continuous function.
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