Write an equation of a tangent function with the following c

Write an equation of a tangent function with the following characters Period = 1 Vertical Asymptotes: x = plusminus 1/2, plusminus 3/2, plusminus 5/2, ... (odd integer multiples of 1/2) Midline y = -1

Solution

comparing with y =tan(Bx+C) +D

period _/B=1

=>B=

midline y =-1

=>D=-1

vertical asymptotes when x =1_/2,(Bx+C)=_/2

((_/2)+C)=_/2

=>C=0

equation of tangent function is y =tan(x) -1