Question

Simplify the trigometric expresssion
(cosxsecx)/(cotx)
(sint+tant)/(tant)

Answer 1

(cos xxsec x)/cot x = (cos x x 1/cos x)/cot x
Since cos x x 1/cos x = 1
cos x x 1/cos x)/cot x = 1/cot x = tan x
Therefore, (cos xxsec x)/cot x = tan x.