Is sin(nπ) always equal to zero for integer n?

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The discussion centers on proving that sin(nπ) equals zero for any integer n. Participants confirm that sin(integer * π) is indeed zero. The original poster expresses confusion about the proof process and admits to struggling with trigonometry. The conversation highlights a common misunderstanding in trigonometric functions. Ultimately, sin(nπ) is established as always being zero for integer values of n.
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Homework Statement



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Homework Equations


The Attempt at a Solution



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I'm not sure how to prove that it is zero. I don't see what I can do after the second last step.
 
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What does sin(integer*pi) equal?
 
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arildno said:
What does sin(integer*pi) equal?

It's equal to zero.

Wow. My trigonometry is terrible.
 
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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