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

• Jun 19th 2006, 10:43 PM
lalitchugh
Show that x --> sin^2 is.....
Hi,

Can anyone help to provide solution for the question:

Show that $
x \rightarrow \sin^2(x)
$
is continuous for every $x$

Request you to help asap.

Best Regards,
Lalit Chugh
• Jun 20th 2006, 09:02 AM
ThePerfectHacker
Quote:

Originally Posted by lalitchugh
Hi,

Can anyone help to provide solution for the question:

Show that $
x \rightarrow \sin^2(x)
$
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, $\sin^2x=\sin x\cdot \sin x$