Learn how to write all of the solutions to a trigonometric equation

The video tutorial covers the process of factoring trigonometric expressions by substituting variables, specifically replacing sine with X, and then solving using the zero product property. The instructor explains how to find solutions for trigonometric equations within a specified range, using coordinate points and angles. The tutorial emphasizes understanding the use of variables and the importance of the zero product property in solving equations. The instructor also discusses the concept of reflections and how to find all possible solutions by considering the periodic nature of trigonometric functions.

What is the first step in factoring a trigonometric expression involving sine?

• Multiply by cosine

• Replace sine with a variable

• Add a constant

• Divide by tangent

What property is used to find solutions when a product equals zero?

• Commutative Property

• Zero Product Property

• Distributive Property

• Associative Property

In trigonometry, what does the Y coordinate represent?

• Secant

• Tangent

• Cosine

• Sine

At what angle does sine equal 1/2?

• 45 degrees

• 30 degrees

• 60 degrees

• 90 degrees

Which of the following angles is a reflection of π/6 where sine is negative?

• 7π/6

• π/3

• 11π/6

• 5π/6

How do you find all solutions for a trigonometric equation?

• Subtract multiples of 2π

• Subtract multiples of π

• Add multiples of 2π

• Add multiples of π

What is the periodicity of the sine function?

• π

• 3π

• 2π

• 4π