Deriving Lagrange's Trig Identity: Real Part of Complex # in Exp Form

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The discussion revolves around understanding the multiplication by e^-i(x/2) in the context of deriving Lagrange's Trig Identity. The original poster seeks clarity on how to determine what to multiply to extract the real part of a complex number in exponential form. Responses emphasize the need for more context regarding the specific problem being solved. One participant suggests using a different approach by multiplying by e^-(x/2)/e^-(x/2) after substituting z = e^(ix). The conversation highlights the importance of clear problem statements for effective assistance.
Lchan1
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Homework Statement


I did the question with help, but did not understand why did we multiply e^-i(x/2)
How do I know what to multiply for getting the real part of a complex number in exponential form?


Homework Equations





The Attempt at a Solution

 
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Lchan1 said:

Homework Statement


I did the question with help, but did not understand why did we multiply e^-i(x/2)
How do I know what to multiply for getting the real part of a complex number in exponential form?


Homework Equations





The Attempt at a Solution

You need to give us more information. I don't know what problem you're trying to solve.
 


Show us what you're doing and where you're getting stuck.
 
Question: A clock's minute hand has length 4 and its hour hand has length 3. What is the distance between the tips at the moment when it is increasing most rapidly?(Putnam Exam Question) Answer: Making assumption that both the hands moves at constant angular velocities, the answer is ## \sqrt{7} .## But don't you think this assumption is somewhat doubtful and wrong?

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