Trigonometric Functions and Inequalities

This video tutorial covers questions 6-10 of the Algebra 2 Trigonometry exam from June 2013. It explains trigonometric functions, absolute value inequalities, domain and range, trigonometric translations, and inverse proportionality. The instructor provides detailed solutions and common pitfalls to avoid, using both manual calculations and graphing calculator techniques.

What is the main focus of the Algebra 2 Trigonometry Exam discussed in the video?

• Statistics and Probability

• Geometry and Calculus

• Algebra and Number Theory

• Trigonometry and Functions

What is the orientation of a positive sine function?

• Starts from the origin and goes down

• Starts from the maximum

• Starts from the minimum

• Starts from the origin and goes up

How does a negative cosine function start?

• From the minimum

• From the maximum

• From the origin

• From the mean

What happens when you divide an inequality by a negative number?

• The inequality symbol reverses

• The inequality becomes an equation

• The inequality symbol disappears

• The inequality symbol remains the same

What is the domain of a function?

• The vertical span of the graph

• The slope of the function

• The range of the function

• The horizontal span of the graph

What does a 90-degree shift to the left in a trigonometric function indicate?

• A change in amplitude

• A horizontal shift

• A vertical shift

• A change in frequency

If Y is inversely proportional to the square of X, how is it expressed?

• y = kx^2

• y = k/x

• y = k/x^2

• y = kx