Question

how do i find the simplified expression of cot x tan x

Answer 1

cot is the inverse of tan

cot x = 1/tan x

Answer 2

so when you multiply cot and tan you'll get a fraction, with a common term in the numerator and denominator, this will can cancel (as long as the denominator is not zero )

Answer 3

cot x = 1/tan x
therefore,
cot x * tan x = 1/tan x * tan x = 1

Answer 4

make sure you specify that the domain does not include points which make the denominator zero

Answer 5

correct

Answer 6

the tangent of a domain zero would be indeterminate
from the definition of
y = sin and x = cos
tan = sin/cos

tan = 0/0
cot = 1/tan = 1/0/0 = 0/0
0/0 * 0/0 = indeterminate