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PROVE: ((1+cosx)/sinx)+(sinx/cosx)=((cosx+1)/(sinx+cosx)). Idk what to do because I'm pretty sure the way I did it was wrong...

PROVE 1cosxsinxsinxcosxcosx1sinxcosx Idk What To Do Because Im Pretty Sure The Way I Did It Was Wrong class=

Sagot :

I'll take the picture.
[tex]\frac{1+cos\theta}{sin\theta}+\frac{sin\theta}{cos\theta}=\frac{cos\theta+1}{sin\theta{cos\theta}}[/tex]
Multiply by [tex]sin\theta{cos\theta}[/tex] to get:
[tex](1+cos\theta)sin\theta=cos\theta+1[/tex], which means that [tex]sin\theta=1[/tex], like wtf?
I guess you got to this result.
Btw, if it's an equation you get that [tex]\theta=k\pi[/tex], for k integer.
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