Respuesta :
Hello, the equivalent to y = -cot(x) would be the [tex]y = -\frac{1}{tan(x)} [/tex] It is called the Reciprocal Identity
Answer:
Step-by-step explanation:
Given is a trignometric function in cotangent.
[tex]y =-cotx[/tex]
We have by trignometric rules cotx is reciprocal of tanx
Hence this is equivalent to
[tex]y =\frac{-1}{tanx}[/tex] ... 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
[tex]y = -tan (90-x) ... ii[/tex]
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
[tex]tan (90+x) = -cotx[/tex]
Hence the same function can be written as
[tex]y = tan (90+x)[/tex]
