Question

What is (tan x + cot x) sin x * cos x ?
pls helppp​

Answer 1

(tan x + cot x) sin x * cos x is 1

(tan x + cot x) sin x * cos x

= (tan x + 1 / tan x) sin x * cos x because cot x = 1 / tan x

= (((tan x) ^2 + 1) / tan x) sin x * cos x because (tan x) ^2 +1= (sec x) ^2

= (sin x / cos x) tan x

= tan x / tan x

= 1