Trigonometric Functions and Equations

This video tutorial explains how to solve trigonometric equations that are factorable or in quadratic form. It covers methods similar to solving algebraic equations, emphasizing the importance of recognizing which technique to use. The video demonstrates solving equations using both reference triangles and the unit circle, providing examples and graphical representations. It concludes with a summary of key points and encourages practice to master the techniques.

What is the main focus of this video tutorial?

• Graphing trigonometric functions

• Solving linear equations

• Understanding the unit circle

• Solving trigonometric equations that are factorable or in quadratic form

Which method is used to solve the equation tan^2(θ) = 1?

• Completing the square

• Graphical method

• Difference of squares

• Quadratic formula

In which quadrants is the tangent function positive?

• Third and fourth

• First and third

• Second and third

• First and second

What is the reference angle for a tangent value of 1?

• 30 degrees

• 90 degrees

• 45 degrees

• 60 degrees

When using the unit circle, what is the cosine value at π/2 radians?

• √3/2

• -1

• 1

• 0

Which angle corresponds to a cosine value of √3/2?

• π/6

• π/4

• π/3

• π/2

In which quadrants is the sine function negative?

• First and second

• Second and third

• First and fourth

• Third and fourth

What is the sine value at 270 degrees?

• -1

• 1/2

• 0

• 1

Which method is emphasized for finding all possible angle solutions?

• Trial and error

• Algebraic manipulation

• Unit circle or reference triangles

• Graphical method

What is the importance of using the unit circle or reference triangles?

• To simplify calculations

• To find all possible angle solutions

• To avoid using calculators

• To memorize trigonometric values