Master evaluating trigonometric function using even odd identities

The video tutorial covers the concepts of even and odd trigonometric identities, explaining their significance and how they relate to the symmetry of functions. It demonstrates how to simplify and evaluate trigonometric functions using these identities, with examples involving cosine, sine, and tangent. The tutorial also discusses the application of reciprocal identities and the handling of negative angles, providing a comprehensive understanding of these mathematical concepts.

Which of the following trigonometric functions is considered an even function?

• Tangent

• Sine

• Cosine

• Cosecant

What is the cosine of a negative angle equivalent to?

• Cosine of the positive angle

• Negative sine of the angle

• Negative cosine of the angle

• Sine of the angle

How does the sine of a negative angle relate to the sine of the positive angle?

• It is the negative of the sine of the positive angle

• It is the cosine of the positive angle

• It is the tangent of the positive angle

• It is the same as the sine of the positive angle

What is the result of the tangent of a negative angle?

• Negative cosine of the positive angle

• Negative tangent of the positive angle

• Tangent of the positive angle

• Cosine of the positive angle

What is the value of tangent at π/4?

• Undefined

• 1

• 0

• √2