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# Lesser Angles!!!

Why do we take Sometimes as sinx=x when x is less than 2 or 3

Note by Sudhir Aripirala
2 years, 8 months ago

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When we were learning simple harmonic motion, Our teacher said " For smaller angles sinx=x" How that can be ? @Calvin Lin

- 2 years, 8 months ago

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 $$\sin x \approx x$$.

Staff - 2 years, 8 months ago

Ok,thanks sir

- 2 years, 8 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."

Staff - 2 years, 8 months ago

Another doubt, in the same lesson my teacher also took the condition" For smaller angles sinx=tanx". @Calvin Lin

- 2 years, 8 months ago