A textbook cramster answer is as follows in Michael Greenberg\'s Advanced Engine

Question

A textbook cramster answer is as follows in Michael Greenberg's Advanced Engineering Mathematics, 2nd Edition 17.3.16EC part 2: {[e^(3) - e^(-3)](-1)^(n)}/2 = (-1)^(n) sin h 3 = (-1)^(n) i sin 3 I understand that sin h 3 = [e^(3) - e^(-3)]/2 However, doesn't i sin 3 = sin h 3i and not sin h 3? Could the (-1)^(n) somehow provide the missing i? Or could the cramster solution be wrong? A textbook cramster answer is as follows in Michael Greenberg's Advanced Engineering Mathematics, 2nd Edition 17.3.16EC part 2: {[e^(3) - e^(-3)](-1)^(n)}/2 = (-1)^(n) sin h 3 = (-1)^(n) i sin 3 I understand that sin h 3 = [e^(3) - e^(-3)]/2 However, doesn't i sin 3 = sin h 3i and not sin h 3? Could the (-1)^(n) somehow provide the missing i? Or could the cramster solution be wrong?

Explanation / Answer

{[e^(3) - e^(-3)](-1)^(n)}/2 = (-1)^(n) sin h 3 is right. sinh(x) = -i sin(ix) so sin h 3 = i sin 3 is wrong, sinh(3) = -i sin(3i)

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.