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Integration Proof - Core 4

Hi all,

I have just completed a question during which I had to integrate (sin(2t))/(sin(t)) which i couldnt do. I have however completed the question, but was wondering if anyone can please show me the way to integrate (sin(2t))/(sin(t))? The answer to this integral is 2sin(t) + C if that helps. Thanks!
Reply 1
Express sin(2t) in terms of sine and cos. And you should see that the sin(t) will cancel out.

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Reply 2
Original post by TMCkins
Hi all,

I have just completed a question during which I had to integrate (sin(2t))/(sin(t)) which i couldnt do. I have however completed the question, but was wondering if anyone can please show me the way to integrate (sin(2t))/(sin(t))? The answer to this integral is 2sin(t) + C if that helps. Thanks!


Using double angle theorems you get sin(2t) = 2sin(t)cos(t) and then its easy to solve from there.

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