I noticed that the graphs of sin(x) and sin(x) ^ 2 are very similar. So I offset sin(x) ^ 2 to exactly match sin(x):(adsbygoogle = window.adsbygoogle || []).push({});

[tex]sin(x) = 2 sin^{2}\left(\frac{x}{2} +\frac{\pi}{4}\right) - 1[/tex]

Is this right, or is it an illusion? I haven't been able to find any identity that this is based on.

If it is right, then:

[tex]sin^{2}(x) = \frac{sin(2x - \frac{\pi}{2}) + 1}{2}[/tex]

Thanks,

pro.in.vbdnf

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# Is the identity I came up with for sin(x) ^ 2 correct?

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