When we were learning simple harmonic motion, Our teacher said " For smaller angles sinx=x"
How that can be ? @Calvin Lin
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Sudhir Aripirala
·
2 years, 6 months ago

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@Sudhir Aripirala
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What your teacher meant is that "\( \sin x \approx x \)", where \(x\) is in radians.

This is true because \( \sin x = x - \frac{ x^3 } { 3! } + \frac{ x^5}{ 5!} - \ldots \). So, for small values of \(x\), we have \( \sin x \approx x \).
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Calvin Lin
Staff
·
2 years, 6 months ago

Can you explain what you are asking for? I do not understand what you are trying to say by " \( \sin x = x \) when \(x\) is less than 2 or 3."
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Calvin Lin
Staff
·
2 years, 6 months ago

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@Calvin Lin
–
Another doubt, in the same lesson my teacher also took the condition" For smaller angles sinx=tanx". @Calvin Lin
–
Sudhir Aripirala
·
2 years, 6 months ago

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TopNewestWhen we were learning simple harmonic motion, Our teacher said " For smaller angles sinx=x" How that can be ? @Calvin Lin – Sudhir Aripirala · 2 years, 6 months ago

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This is true because \( \sin x = x - \frac{ x^3 } { 3! } + \frac{ x^5}{ 5!} - \ldots \). So, for small values of \(x\), we have \( \sin x \approx x \). – Calvin Lin Staff · 2 years, 6 months ago

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– Sudhir Aripirala · 2 years, 6 months ago

Ok,thanks sirLog in to reply

Can you explain what you are asking for? I do not understand what you are trying to say by " \( \sin x = x \) when \(x\) is less than 2 or 3." – Calvin Lin Staff · 2 years, 6 months ago

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@Calvin Lin – Sudhir Aripirala · 2 years, 6 months ago

Another doubt, in the same lesson my teacher also took the condition" For smaller angles sinx=tanx".Log in to reply