Which of the following equations would transform the tangent graph to the parent cotangent graph?

a) y=tan(x+pi/2)

b) y=-tan(x-pi)

c) y=-tan(-x-pi/2)

d) y=-tan(x-pi/2)

D

Step-by-step explanation:

First you need to make it either -tan(x) or tan(-x) to get it oriented correctly (Flipped over the x or y axis, either works) and then moved left or right by pi/2, again, either works.  You cannot have both tangent itself and x be negative though, like in C, because that just undoes the flipping.    just like a +pi/2 would undo a-pi/2.

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b