Show that x --> sin^2 is.....

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June 19th 2006, 09:43 PM
lalitchugh

Show that x --> sin^2 is.....

Hi,

Can anyone help to provide solution for the question:

Show that $<br /> x \rightarrow \sin^2(x)<br />$ is continuous for every $x$

Request you to help asap.

Best Regards,
Lalit Chugh
June 20th 2006, 08:02 AM
ThePerfectHacker

Quote:

Originally Posted by lalitchugh

Hi,

Can anyone help to provide solution for the question:

Show that $<br /> x \rightarrow \sin^2(x)<br />$ is continuous for every $x$

Request you to help asap.

Best Regards,
Lalit Chugh

Since,
$\lim_{x\to c}\sin x=\sin c$ we know that sine is countinous. Now, the product of any two countinous functions at a point is countinous at that point. Because, $\sin^2x=\sin x\cdot \sin x$

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