Simplifying rational expressions by factoring out the GCF

The video tutorial focuses on simplifying trigonometric expressions using algebraic properties and factoring techniques. It introduces the concept of rewriting expressions in terms of variables like x and y to make simplification easier. The tutorial also covers the application of Pythagorean identities to simplify expressions further, demonstrating how sine and cosine functions can be reduced to simpler forms.

What is the initial goal when simplifying trigonometric expressions?

• To convert them into algebraic expressions

• To simplify them to a constant or a single trig function

• To eliminate all trigonometric functions

• To rewrite them in terms of angles

What is a suggested method to simplify complex trigonometric expressions?

• Apply calculus techniques

• Use algebraic properties and rewrite in terms of x's and y's

• Use numerical methods

• Convert them into logarithmic expressions

In the example given, what is factored out from the expression x^3 - x*y^2?

• y^2

• x

• y

• x^2

What identity is used to simplify the expression after factoring out a sine?

• Double Angle Identity

• Sum and Difference Identity

• Reciprocal Identity

• Pythagorean Identity

What is the result of applying the Pythagorean identity to sine squared plus cosine squared?

• 0

• 2

• sine of x

• 1