Trigonometric Functions and Properties

This video tutorial covers day two of the trigonometric identities unit. It begins with an overview of the topics, including odd-even functions, factoring, and co-functions. The instructor explains how to factor trinomials and trigonometric expressions, using examples to illustrate the process. The video also delves into the concept of odd and even functions, providing algebraic and graphical representations. Co-functions are discussed, with examples demonstrating their properties. The tutorial concludes with proof practice, reinforcing the concepts learned.

What are the main topics covered in this lesson?

• Statistics, probability, and matrices

• Physics, chemistry, and biology

• Calculus, algebra, and geometry

• Odd-even functions, factoring, and co-functions

When factoring a trinomial, what do you look for?

• Numbers that are prime

• Numbers that multiply to the constant term and add to the middle term

• Numbers that divide the constant term

• Numbers that are even

How do you factor a trinomial with a leading coefficient other than 1?

• Use the distributive property

• Use the Pythagorean theorem

• Use the quadratic formula

• Use the a times c method

What is the algebraic definition of an odd function?

• f(-x) = -f(x)

• f(-x) = f(x)

• f(x) = x^2

• f(x) = x^3

Which of the following is an example of an even function?

• y = x^2

• y = x^3

• y = x

• y = x^4

What is the relationship between sine and cosine as co-functions?

• Sine of an angle is equal to cotangent of its complement

• Sine of an angle is equal to secant of its complement

• Sine of an angle is equal to tangent of its complement

• Sine of an angle is equal to cosine of its complement

How are tangent and cotangent related as co-functions?

• Tangent of an angle is equal to secant of its complement

• Tangent of an angle is equal to cosine of its complement

• Tangent of an angle is equal to sine of its complement

• Tangent of an angle is equal to cotangent of its complement

What is the sine of 30 degrees equal to in terms of cosine?

• Cosine of 60 degrees

• Cosine of 45 degrees

• Cosine of 90 degrees

• Cosine of 30 degrees

What is the result of simplifying the expression 1 - sine squared x?

• Tangent squared x

• Cosine squared x

• Sine squared x

• Secant squared x

What is the final simplified form of negative cotangent of x times sine of x?

• Tangent of x

• Negative cosine of x

• Sine of x

• Cosine of x