Simplifying a trig expression

• May 29th 2008, 06:07 PM
Kim Nu
Simplifying a trig expression
[(1 / (cos^2 (x)) - x]*sin(x)

Can someone help me simplify this? Thanks,

Kim
• May 29th 2008, 06:49 PM
TKHunny
Probably not. Why do you think it possible?
• May 29th 2008, 08:06 PM
angel.white
Quote:

Originally Posted by Kim Nu
[(1 / (cos^2 (x)) - x]*sin(x)

Can someone help me simplify this? Thanks,

Kim

You've done a good job trying to line the brackets up, but they are unfortunately not correct. The "(" to the left of the "1" is never closed.
• May 29th 2008, 09:07 PM
Mathstud28
Quote:

Originally Posted by Kim Nu
[(1 / (cos^2 (x)) - x]*sin(x)

Can someone help me simplify this? Thanks,

Kim

I cannot see any simplification other than

$\bigg[\frac{1}{\cos^2(x)}-x\bigg]\cdot\sin(x)=\frac{\sin(x)}{\cos^2(x)}-x\cdot\sin(x)=\tan(x)\cdot\sec(x)-x\cdot\sin(x)$