What are even and odd trigonometric functions

The video tutorial explains the concepts of even and odd functions, both graphically and algebraically. It uses examples like X^2 and X^3 to illustrate these concepts. The tutorial also covers the properties of trigonometric functions, identifying which are even (cosine and secant) and which are odd (sine, cosecant, tangent, and cotangent). Understanding these properties is crucial for solving problems involving negative values in trigonometric functions.

Which of the following is a characteristic of an even function?

• Symmetrical about the Y-axis

• Symmetrical about the X-axis

• Symmetrical about the line y = x

• Symmetrical about the origin

What is the algebraic test for determining if a function is even?

• f(-x) = -f(x)

• f(-x) = f(x)

• f(x) = -f(x)

• f(x) = f(-x)

Which trigonometric function is even?

• Cosine

• Sine

• Tangent

• Cosecant

What happens to the sine function when a negative value is input?

• It remains the same

• It becomes zero

• It becomes positive

• It becomes negative

Which of the following is an odd trigonometric function?

• Cosine

• Cotangent

• Cosecant

• Secant