Use even and odd identities to evaluate trig functions

The video tutorial explains the concept of even functions, focusing on cosine and secant. It describes how even functions remain unchanged when the input value is negated. The tutorial demonstrates calculations involving cosine and secant of negative values, emphasizing the reciprocal relationship between secant and cosine.

What is a key property of even functions?

• They become zero when the input is negated.

• They double in value when the input is negated.

• They remain unchanged when the input is negated.

• They change sign when the input is negated.

Which of the following functions is considered even?

• Sine

• Tangent

• Cosine

• Cotangent

If cosine of negative T is equal to cosine of T, what can be inferred?

• Cosine of T is always negative.

• Cosine of T is always positive.

• Cosine of T is equal to cosine of negative T.

• Cosine of T is zero.

What is the relationship between secant and cosine?

• Secant is the integral of cosine.

• Secant is the reciprocal of cosine.

• Secant is the derivative of cosine.

• Secant is the square of cosine.

How do you calculate secant of negative T?

• Multiply cosine of T by 2.

• Subtract 1 from cosine of T.

• Take the reciprocal of cosine of negative T.

• Add 1 to cosine of T.