- Joined
- Jun 27, 2021
- Messages
- 5,386
- Reaction score
- 422
How do you test trigonometric functions for Symmetry?
Do you have two examples to show me?
Thanks
Do you have two examples to show me?
Thanks
The cosine is known as an even function, and the sine is known as an odd function. Generally speaking,
f(x) is an even function if f(-x) =f(x)
and odd if f(-x) = -f(x)
The cosine and sine functions satisfy the following properties of symmetry:
cos(-θ) = cos(θ) => symmetry about y-axis
sin(-θ) = -sin(θ) => symmetry about origin
also
tan(−θ)=−tan(θ)=> symmetry about origin
cot(−θ)=−cot(θ)=> symmetry about origin
csc(−θ)=−csc(θ)=> symmetry about y-axis
sec(−θ)=sec(θ)=> symmetry about y-axis
.