Subtracting two rational trig expression to simplify

The video tutorial reviews rational expressions and the concept of common denominators, then extends these ideas to trigonometric expressions. It demonstrates how to find the least common denominator (LCD) for trigonometric expressions and applies the distributive property to simplify them. The tutorial concludes by using the Pythagorean identity to further simplify the expression to secant.

What is the first step in adding or subtracting rational expressions?

• Divide the denominators

• Find the greatest common factor

• Determine the least common denominator

• Multiply the numerators

In trigonometric expressions, what is the least common denominator when dealing with cosine and sine?

• 1 minus cosine of X

• Sine of X

• Cosine of X

• Cosine of X times 1 minus sine of X

What property is used to simplify the expression involving cosine and sine?

• Associative Property

• Distributive Property

• Commutative Property

• Identity Property

What is the result of simplifying the expression 1 minus sine of X over cosine of X times 1 minus sine of X?

• Cosine of X

• 1 over cosine of X

• Sine of X

• 1 over sine of X

What is the reciprocal of cosine of X?

• Secant of X

• Tangent of X

• Cosecant of X

• Sine of X