Basic 6 Trig Graphs

y=tanx domain

ℝ 𝑥 ≠ 𝜋/2 + 𝑛𝜋
OR
ℝ 𝑥 ≠ k𝜋/2

x-intercepts of y=cotx

𝜋/2, 3𝜋/2

is y=cosx even or odd

even

y=cosx symmetry

y-axis

y=tanx asymptotes

𝑥 = 𝜋/2 + 𝑛𝜋 OR 𝑥 = k𝜋/2 where k: odd integer

same as domain

y=tanx amplitude

n/a

y=tanx period

𝜋

y=cscx domain

ℝ 𝑥 ≠ 𝑛𝜋
OR
ℝ 𝑥 ≠ k𝜋 where k: any integer

y=cscx amplitude

n/a

y=cscx asymptote

𝑥 = 𝑛𝜋 OR 𝑥 = k𝜋 where k: any integer

same as domain

is y=secx even or odd

even

y=secx domain

ℝ 𝑥 ≠ 𝜋/2 + 𝑛𝜋
OR
ℝ 𝑥 ≠ k𝜋/2 where k: odd integer

y=secx symmetry

y-axis

y=secx asymptotes

𝑥 = 𝜋/2 + 𝑛𝜋 OR 𝑥 = k𝜋/2 where k: odd integer

same as domain

y=cotx domain

ℝ 𝑥 ≠ 𝑛𝜋

OR

ℝ 𝑥 ≠ k𝜋 where k: any integer

y=cotx period

𝜋

y=cotx asymptotes

𝑥 = 𝑛𝜋 OR 𝑥 = k𝜋 where k: any integer

same as domain