Question

A tangent function undergoes the following transformations:reflection, vertical stretch of 2, period of π/2. What is the equation forthis trigonometric function?

Answer 1

Given

tangent function , vertical stretch of 2, period of π/2.

Find

equation for this trigonometric function

Step-by-step explanation

as we know the standard form of the tangent function is given by

`y=a\tan(bx+c)d`

here vertival stretch of 2

a = 2

period = pi/2=pi/b

so , b= 2

so , y = 2tan(2x+0)+0

Final Answer

Therefore, the equation for this trigonometric function is y = 2tan(2x+0)+0 or y = 2tan(2x)