How do you simplify sec x cot x cos x?

y = sec(x)*cot(x)*cos(x)

To solve this trigonometric equation, you need to know these identities:

sec(x) = 1/(cos(x))

cot(x) = 1/(tan(x)) = (cos(x))/(sin(x))

Now substitute these identities into the original equation:

y = (1/cos(x))*((cos(x))/(sin(x)))*cos(x)

Now cancel out the terms that are similar in the numerator and denominator to leave you with:

y = (1/(sin(x)))*cos(x)

y = (cos(x))/(sin(x))

From the aforementioned known identity, the final simplified trigonometric equation becomes:

y = cot(x)