Master Solving trigonometric equations using factoring

The video tutorial explains how to solve trigonometric equations using factoring. It begins with an introduction to the concept and the importance of knowing when to use factoring. The instructor demonstrates the difference of squares method and applies it to solve equations. Advanced techniques are discussed, and the use of reciprocal functions to find solutions is explained. The tutorial emphasizes understanding the zero product property and inverse operations to solve equations effectively.

What is the primary reason for using factoring in solving trigonometric equations?

• To eliminate trigonometric functions

• To apply the zero product property

• To simplify the equation

• To avoid using inverse operations

Which of the following represents the difference of squares?

• a^2 / b^2

• a^2 * b^2

• a^2 - b^2

• a^2 + b^2

What is the result of factoring the expression x^2 - 1?

• (x + 1)(x - 1)

• (x - 1)(x + 1)

• (x + 1)(x + 1)

• (x - 1)(x - 1)

How do you solve an equation after factoring it into two expressions equal to zero?

• Set each expression to zero

• Multiply the expressions

• Divide the expressions

• Add the expressions

What is the angle where tangent equals 1 on the unit circle?

• π/3

• π/6

• π/4

• π/2

Which quadrant is cosine negative in?

• First and fourth

• First and second

• Second and third

• Third and fourth

What is the first step in solving a trigonometric equation using factoring?

• Set the equation equal to zero

• Apply the zero product property

• Use inverse operations

• Simplify the equation

What is the reciprocal function of cosecant?

• Cosine

• Sine

• Secant

• Tangent

What is the angle where sine equals -1/2?

• 11π/6

• 7π/6

• 5π/6

• π/6

What is the angle where cosine equals -1?

• π

• 3π/2

• π/2

• 0