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Question

Question: The period of \({\cos h}(4x)\) is ....

The period of cosh(4x){\cos h}(4x) is .

A

2πi2\pi i

B

πi\pi i

C

πi2\frac{\pi i}{2}

D

2π2\pi

Answer

πi2\frac{\pi i}{2}

Explanation

Solution

cosh(4x)=cosh(2πi+4x)=cosh4(πi2+x)\cosh(4x) = \cosh(2\pi i + 4x) = {\cos h}4\left( \frac{\pi i}{2} + x \right)

∴ Period is πi2\frac{\pi i}{2}.