Practice Set 2
10 Connected Questions
This set focuses on degree-radian conversion, amplitude and period, transformations, unit-circle values, and simple equation solving.
Practice Questions
DOK 2 Practice Set: Trig Connections
Use Desmos to compare equations and repeating graphs while you connect angle measures, graph features, and simple trig equations.
Question 1
Which radian measure is equivalent to 225°?
Desmos Move: Use 180° = π and 45° = π/4, then combine them.
Question 2
A sine graph has a maximum of 6 and a minimum of 2. What is its midline?
Desmos Move: The midline is halfway between the maximum and minimum values.
Question 3
What is the period of y = sin(2x)?
Desmos Move: For y = sin(bx), divide 2π by b to find the period.
Question 4
Which ordered pair is on the unit circle at 210°?
Desmos Move: 210° is 30° past 180°, so it is in Quadrant III where both coordinates are negative.
Question 5
Which transformation describes y = cos(x) + 3?
Desmos Move: A number added outside the trig function moves the graph vertically.
Question 6
On the interval 0° to 180°, which values solve sin(x) = 0?
Desmos Move: Sine is the y-coordinate on the unit circle, so look for where y = 0.
Question 7
A tide model repeats every 12 hours. What is the period?
Desmos Move: The period is the time for the pattern to complete one full repeat.
Question 8
A cosine graph has a maximum of 9 and a minimum of 1. What is its amplitude?
Desmos Move: Amplitude is half the distance from max to min.
Question 9
On the interval 0° to 360°, which values solve 2 cos(x) = 1?
Desmos Move: First rewrite the equation as cos(x) = 1/2, then use the unit circle.
Question 10
Which description matches y = sin(x - π/2) + 1?
Desmos Move: Inside changes move the graph horizontally, and outside changes move it vertically.