Question

Which is the correct Euler expression?

(a) exp(2jt) = cos(2t) + jsin(t)

(b) exp(2jt) = cos(2t) + jsin(2t)

(c) exp(2jt) = cos(2t) + sin(t)

(d) exp(2jt) = jcos(2t) + jsin(t)

This question was addressed to me in class test.

This interesting question is from Useful Signals in section Signals and Systems Basics of Signals and Systems

Answer 1

Correct answer is (b) exp(2jt) = cos(2t) + jsin(2t)

Explanation: Euler rule: exp(jt) = cos(t) + jsin(t).