Cosine Functions and Graphs

The video tutorial transitions from solving trigonometric equations with sine to focusing on cosine. It explains how equations can be represented as graphs and how to find intersections. The tutorial demonstrates solving cosine equations using inverse functions and analyzes the cosine graph to identify key points. It also explores the symmetry in trigonometric graphs to find multiple solutions.

What was the primary focus of the previous lesson before moving to cosine?

• Sine

• Secant

• Tangent

• Cosecant

What does each side of an equation represent in the context of graphs?

• A line segment

• A single point

• A vector

• A graph

What is the graphical representation of the equation x^2 + 5x + 6 = 4?

• A circle and a line

• Two parallel lines

• A parabola and a horizontal line

• Two intersecting lines

What is the first solution for cos(x) = 1/2?

• 60 degrees

• 45 degrees

• 90 degrees

• 30 degrees

What is the exact value of cos(60 degrees)?

• 1

• √3/2

• 1/2

• 0

At what degree does the cosine graph equal zero?

• 270 degrees

• 180 degrees

• 60 degrees

• 90 degrees

What is the significance of 180 degrees on the cosine graph?

• It is the peak

• It is the start

• It is the valley

• It is the midpoint

How is the second solution for cos(x) = 1/2 found using symmetry?

• By subtracting 60 degrees from 360

• By adding 60 degrees to 360

• By subtracting 60 degrees from 180

• By adding 60 degrees to 180

What is the second solution for cos(x) = 1/2?

• 300 degrees

• 270 degrees

• 330 degrees

• 240 degrees

What is the cosine of 300 degrees?

• 1

• 0

• 1/2

• √3/2