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## Homework Statement

(Cos[x]^2) (Tan[x] + Cot[x]) Simplify the equation by hand!!

## Homework Equations

## The Attempt at a Solution

cos^2 / (tan + cot)

cos^2 / (sin/cos + cos/sin) * sin*cos/(sin*cos)

sin*cos^3 / (sin^2 + cos^2)

sin*cos^3 / 1

sin(x) * cos^3(x)

this is wrong b/c i divided it...

NVM found the answer:

(cos^2(x))(sin(x)/cos(x) + cos(x)/sin(x))

cos(x)sin(x) + cos^3(x)/sin(x)

cos(x)sin(x) + cos^2(x)cos(x)/sin(x)

cos(x)sin(x) + (1 - sin^2(x))cos(x)/sin(x)

cos(x)sin(x) + (cos(x) - sin^2(x)cos(x))/sin(x)

cos(x)sin(x) + cot(x) - sin(x)cos(x)

cot(x)

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