Question

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...

Answer 1

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