cscx cotx (1-cos^2x)= ____x
Please explain how to solve this?

Question

cscx cotx (1-cos^2x)= ____x
Please explain how to solve this?

debbieg · Answer

Do you know an identity that allows you to substitute something in for (1-cos^2x)?

debbieg · Answer

$\sin^2(x)+\cos ^2(x)=1$ might be helpful. :)

anonymous · Answer

I couldn't find an identity that matched that particular expression. How is the Pythagorean identity obtained from that?

anonymous · Answer

Wait... is the answer sinx? 1-cos^2x equal sin^2x, soooo.... eh?

debbieg · Answer

It isn't obtained from it. It's useful in simplifying it. Rearrange it and you'll get an expression for $1-cos ^2(x)$

debbieg · Answer

eh. :)

debbieg · Answer

Yes, after you make that substitution and convert the other factors to sines and cosines, everything just falls right into place, doesn't it? :)

anonymous · Answer

Hallelujah! I'm finally getting somewhere! Thank you so much. :)

debbieg · Answer

You're very welcome, happy to help. :)

debbieg · Answer

$$\Large \begin{matrix}\Uparrow ~~~~~~~~~~~~~~~~~~~~~~~~ \ \heartsuit \text{'s trig identities}\end{matrix}$$

Hehe.... don't mind me, just playing with LaTex. :)