Trig graphs

Period of tangent

^{pi/absolute value b}

Tangent asymptotes

odd multiples of pi/2 absolute value b

Cotangent Period

pi/absolute value b

Asymptotes of cotangent

all multiples of pi/absolute value b

Cosecant period

2pi/absolute value b

Cosecant asymptotes

all multiples of pi/absolute value b

Secant period

2pi/absolute value b

Secant asymptotes

all multiples of pi/absolute value b

Cosine amplitude

a

sine amplitude

a

Period for sine and cosine

2π/|b|

Key points for sine and cosine

period divided by 4

Phase shift

up and down

Midline shift

left and right