How to solve a trigonometric equation by factoring

The video tutorial covers solving trigonometric equations, focusing on secant functions. It begins with factoring trinomials and applying the Zero Product Property. The instructor explains how to solve equations involving secant by using its reciprocal, cosine, and demonstrates how to find cosine values on the unit circle. The session concludes with a Q&A segment.

What is the first step in solving a trigonometric equation with multiple terms?

• Using the unit circle

• Isolating the variable

• Applying the Zero Product Property

• Factoring the equation

When using the Zero Product Property, what must be true about the equation?

• It must be set equal to zero

• It must be a quadratic equation

• It must have only one term

• It must involve sine and cosine

What is the reciprocal of the secant function?

• Cosine

• Cotangent

• Sine

• Tangent

How can secant values be converted to a more familiar trigonometric function?

• By using sine

• By using tangent

• By using cotangent

• By using cosine

Where on the unit circle is the cosine value 1/2 located?

• π/3 and 5π/3

• π/4 and 7π/4

• π/6 and 11π/6

• π/2 and 3π/2

At which angle does cosine equal -1 on the unit circle?

• π

• 0

• π/2

• 3π/2

What is the significance of the unit circle in solving trigonometric equations?

• It helps visualize sine values

• It provides exact values for trigonometric functions

• It is used to graph equations

• It simplifies complex numbers