Pretty basic proof problem, help greatly appreciated!

[Khemical1]

Just started proofs and I'm stumped, and the sad part is this looks like a bare basic problem.


1+sin(theta)
________________ = sec(theta) ( csc(theta) + 1 )

cos(theta) sin(theta)


I know the denominator of the right side is cos() sin() to match the left, but I can't get the top to match up. Any help would be greatly appreciated! Thanks.

 

[Gene]

Once we shrink it down so it fits the page, you are almost there. A mistake in multiplying perhaps?

 1+sin(t)
----------  = sec(t)(csc(t)+1)
cos(t)sin(t)

sec(t)(csc(t)+1) =
sec(t)csc(t)+sec(t) =
1/cos(t)sin(t) + 1/cos(t) =
1/cos(t)sin(t) + sin(t)/sin(t)cos(t) = ???
Can you finish it off?

 

[Khemical1]

ah, thats what I was doing wrong, I put the last sec with the other two, rather than having it as the seperate 1/cos letting me multiply by the sin. Thank you Sir!