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Evaluate each of the following functions and see if it is periodic. If periodic, find its period.

(a) f (t) = cos π t + 2 cos 3 π t + 3 cos 5 π t

(b) y(t) = sin t + 4 cos 2 π t

(c) g(t) = sin 3t cos 4t

(d) h(t) = cos2 t

(e) z(t) = 4.2 sin(0.4 π t + 10º) + 0.8 sin(0.6 π t + 50º)

(f) p(t) = 10

(g) q(t) = e−πt

(a) f (t) = cos π t + 2 cos 3 π t + 3 cos 5 π t

(b) y(t) = sin t + 4 cos 2 π t

(c) g(t) = sin 3t cos 4t

(d) h(t) = cos2 t

(e) z(t) = 4.2 sin(0.4 π t + 10º) + 0.8 sin(0.6 π t + 50º)

(f) p(t) = 10

(g) q(t) = e−πt

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