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.

`(1+cos\theta)/(sin\theta)+(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.