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Question: The period of \({\cos h}\frac{\theta}{3}\) is...

The period of cos⁡hθ3{\cos h}\frac{\theta}{3} is

A

6πi6\pi i

B

2πi2\pi i

C

πi\pi i

D

9πi9\pi i

Answer

6πi6\pi i

Explanation

Solution

Since the period of cosh⁡θ\cosh\theta is 2πi,2\pi i, so the period of cosh⁡θ3\cosh\frac{\theta}{3} is 3.2πi=6πi3.2\pi i = 6\pi i