Download Even and Odd Trig Function

Pre-Calculus – Unit 2A
Even and Odd Trigonometric Functions Worksheet
Instructions:
Use the Unit Circle for this limited test for even and odd functions to examine which trigonometric
functions are odd or even.
𝒇(𝜽)
sin 30° =
csc 30° =
tan 30° =
cot 30° =
sin 30° =
sin 30° =
sin 60° =
csc 60° =
tan 60° =
cot 60° =
sin 60° =
sin 60° =
1
√3
𝒇(−𝜽)
sin(−30° )=
csc(−30° )=
tan(−30° )=
cot(−30° )=
sin(−30° )=
sin(−30° )=
sin(−60° )=
csc(−60° )=
tan(−60° )=
cot(−60° )=
sin(−60° )=
sin(−60° )=
Test for Even or Odd
1
√3
−𝑓(𝜃) = 𝑓(−𝜃)
1
1
− ( )=−
√3
Even or
Odd?
ODD
√3
Tip: It is important to note:
 sin(θ) is related to the height (y position) on the circle
 cos (θ) is related to the side-to-side (x position) on the circle
 tan (θ) is related to the slope of the angle.
By examining various angles versus (x, y) positions or slopes on the circle, it becomes
apparent which functions must be odd or even.
Tip: Remember, an even trigonometric function gives the same result whether the angle is
positive or negative. If the resulting sign is the only change when the sign of the angle is
reversed, the trig function is odd.
Pre-Calculus – Unit 2A