More Lessons for Trigonometry
In this lesson we will look at how to determine whether a Trigonometric Function is Even, Odd or Neither.
What is an even function?
1. An even function is symmetric about the y-axis.
2. f(-x) = f(x)
What is an odd function?
1. An odd function is symmetric about the origin.
2. f(-x) = -f(x)
Even or Odd Trigonometric Functions
Cosine function is even. cos(-x) = cos x
Secant function is even. sec(-x) = sec x
Sine function is odd. sin(-x) = - sin x
Cosecant function is odd. csc(-x) = - csc x
Tangent function is odd. tan(-x) = - tan x
Cotangent function is odd. cot(-x) = - cot x
Examples with Trigonometric Functions: Even, Odd or Neither, Example 1
Cosine function, Secant function, Sine function, Cosecant function, Tangent function, and Cotangent function
Examples with Trigonometric Functions: Even, Odd or Neither, Example 2
a) f(x) = sec x tan x
Examples with Trigonometric Functions: Even, Odd or Neither, Example 3
b) g(x) = x4
sin x cos2
Examples with Trigonometric Functions: Even, Odd or Neither, Example 4
c) h(x) = cos x + sin x
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