y=tan (1/2Ꝋ) ...

Question

GIVEN Y=TAN (1/2Ꝋ), IDENTIFY THE CRITICAL POINTS IN THE PRINCIPAL CYCLE 

LEFT SIDE ?, RIGHT SIDE ?, PERIOD ?, QUARTER POINT ?, MIDPOINT ?, THREE QUARTER POINT?

Answer 1

I'm not sure if it's (1/2)θ or 1/(2θ).

Assuming tan[(1/2)θ],

-π/2 < (1/2)θ < π/2

-π < θ < π

"Left side" (vertical asymptote at x = -π)

"Right side" (vertical asymptote at x = π)

Period π - (-π) = 2π

Midpoint 0

Quarter point: -π/2 ( halfway between -π and 0)

Three quarter point π/2 (halfway between 0 and π)