Question

How do you graph `y=-tan(x-pi/2)`?

Answer 1

See explanation and graph.

Explanation:

`cot x = tan ( pi/2 - x ) - tan ( x - pi/2 ) = y`,

`x ne` ( asymptotic zero of the denominator sin x ) `kpi`,

`k = 0, +-1, +-2, +-3, ...`.

The period is the period of tan x `= pi`

Axis: y = 0

Amplitude for infinite wave length = 1/2 (space between two

consecutive asymptotes `= pi/2`

See graph, depicting all these aspects.

graph{(y sin x - cos x)(y+0x)(x+0y)(x-pi+0y)(x+pi+0y) = 0}