Question

Which function is equivalent to y= -cot(x)

Answer 1

Hello, the equivalent to y = -cot(x) would be the
`y = -(1)/(tan(x))` It is called the Reciprocal Identity

Answer 2

Explanation:

Given is a trignometric function in cotangent.

`y =-cotx`

We have by trignometric rules cotx is reciprocal of tanx

Hence this is equivalent to

`y =(-1)/(tanx)` ... i

Another way of writing is we have

tanx = cot (90-x) and cot x = tan (90-x)

Hence this can also be written as

`y = -tan (90-x) ...  ii`

In particular we do not want negative sign in the term means we can use the fact that cot x is negative in II quadrant

`tan (90+x) = -cotx`

Hence the same function can be written as

`y = tan (90+x)`