Trigonometric Functions and Inequalities

This video tutorial covers trigonometric inequalities, focusing on solving them using graphs, reference angles, and sign charts. It includes examples of comparing functions and factoring trigonometric expressions. The video also provides tips for recognizing solutions in different forms, such as interval notation and inequalities, and highlights common mistakes to avoid.

What is the main topic of this video?

• Trigonometric inequalities

• Calculus

• Algebra

• Trigonometric functions

What is the interval notation used for?

• To graph functions

• To find derivatives

• To solve equations

• To express solutions of inequalities

Which interval is used to find where sine of theta is greater than or equal to radical 2/2?

• 3pi/4 to 5pi/4

• pi to 2pi

• pi/4 to 3pi/4

• 0 to pi

What is the reference angle for sine of pi/4?

• pi/6

• pi/2

• pi/3

• pi/4

In which quadrants is sine positive?

• First and second

• Second and third

• First and fourth

• Third and fourth

What is the reference angle for cosine of pi/3?

• pi/2

• pi/4

• pi/3

• pi/6

Which quadrants are used when cosine is negative?

• First and second

• Second and third

• Third and fourth

• First and fourth

What is the purpose of a sign chart in solving inequalities?

• To find the derivative

• To determine where a function is positive or negative

• To graph the function

• To solve equations

What is the first step in using a sign chart?

• Solve the equation

• Find the critical values

• Differentiate the function

• Graph the function

What is the reference angle for cosine of pi/6?

• pi/6

• pi/3

• pi/4

• pi/2