Question: how do I get maple to simplify the cosine of a complex number?

I am trying to get Maple 16.02 to evaluate

cos(Pi/4 - I*ln(2))

using exactly the syntax I just typed.  The correct answer is 3/4 + I/4.  I cannot get Maple to give me this correct, simplified answer.  I have tried "expand", "simplify", and "value", and I get garbage containing terms such as

"sinh((1/2)*ln(2))".

How can I force Maple to give me the simplest answer?

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