Trig
posted by Dennis on .
Solve in terms of sine and cosine:
sec(x) csc(x) sec(x) sin(x)
so far I have:
1/cos(x) 1/sin(x)  1/cos(x) sin(x)
I am not sure where to go to from there. The book says the answer is cot(x) or cos(x)/sin(x)
Thank you in advance.

sec(x) csc(x) sec(x) sin(x)
= (1/cos x)(1/sinx)  sinx/cosx
= [(1/sinx)sinx]/cos x
= [1  sin^2x]/(sin x cos x)
= cos^2 x/(sin x cos x)
= cosx/sinx = cot x 
Dang, I see where I messed up. Thank you so much.

whoops, sorry everyone. The original message was supposed to be a reply to another post.