Question

How do you simplify `tan Ø/ cot Ø`?

Answer 1

`tan(theta) / cot(theta) = tan^2(theta)`

Explanation:

By definition:
`color(white)("XXXX")` `cot(theta) = 1/tan(theta)`
or
`color(white)("XXXX")` `1/cot(theta) = tan(theta)`

`tan(theta)/cot(theta)`
`color(white)("XXXX")` `= tan(theta)*1/cot(theta)`

`color(white)("XXXX")` `= tan(theta)*tan(theta)`

`color(white)("XXXX")` `= tan^2(theta)`