Question

how do you write (cosx)/(secx-1) without being in fractional form?

Answer 1

(cosx)/(secx-1) = cos^2 x/(1 - cos x)
= cos^2 x*(1 + cos x)/(1 - cos^2x)
= cot^2 x * (1 + cos x)

Check: for x = 45 degrees
sec x = sqrt2
(cosx)/(secx-1)= 1.707
cot^2 x * (1 + cos x) = 1.707