4cot^2x-4/tanx+cosxsecx

Question

write expression in factored form as an algebraic expression of a singletrig function

Answer 1

Use the following identities:
cot(x) = 1/tan(x)
sec(x) = 1/cos(x)
tan(x) = sin(x)/cos(x)

I suspect that parentheses are missing from the numerator and/or denominator.

The following problem may not be what you are working on. You can work out the problem using the above identities similar to the response below.

4cot²(x) - 4tan(x) + cos(x) sec(x)
=4/tan²(x) -4tan(x) + cos(x)/cos(x)
=4/tan²(x) -4tan(x) + 1