Are Trig Functions Even or Odd?

Cosine and secant are even; sine, tangent, cosecant, and cotangent

cotangent
The cotangent function is the reciprocal of the tangent function, and is abbreviated as cot . It can be described as the ratio of the length of the adjacent side to the length of the hypotenuse in a triangle.
are odd. Even and odd properties can be used to evaluate trigonometric functions.

How do you know if a trig function is even or odd?

All functions, including trig functions, can be described as being even, odd, or neither. A function is odd if and only if f(-x) = - f(x) and is symmetric with respect to the origin. A function is even if and only if f(-x) = f(x) and is symmetric to the y axis.

Are trig functions even?

The six trigonometric functions can be found from a point on the unit circle. ... A function is said to be even if f(−x)=f(x) and odd if f(−x)=−f(x). Cosine and secant are even; sine, tangent, cosecant, and cotangent are odd.

Sarah Jenkins

Sarah Jenkins

Senior Technology Editor & AI Specialist

Sarah Jenkins is a veteran tech journalist with over 12 years of experience covering artificial intelligence, mobile innovations, and digital ethics. Her insights have appeared in leading technology publications worldwide.