Practice Set 5
10 EOC-Style Challenge Questions
This set focuses on stronger transformations, solving simple trig equations, periodic interpretation, and calculator-aware reasoning.
Practice Questions
EOC Challenge Set: Trig Connections
Use this set to blend equation features, special-angle reasoning, and periodic context in a stronger NC Math 3 review mix.
Question 1
Which equation has amplitude 5 and midline y = -2?
Desmos Move: The coefficient gives the amplitude, and the outside constant gives the midline.
Question 2
On 0° to 360°, which values solve cos(x) = 0?
Desmos Move: Cosine is the x-coordinate on the unit circle, so it is 0 where the circle crosses the y-axis.
Question 3
A periodic model reaches a high point every 18 seconds. What is the period?
Desmos Move: If the same kind of point repeats every 18 seconds, then one full cycle lasts 18 seconds.
Question 4
Which transformation turns y = sin(x) into y = sin(x) - 4?
Desmos Move: A number subtracted outside the trig function moves the graph vertically.
Question 5
Which ordered pair is on the unit circle at 300°?
Desmos Move: 300° is 60° below the positive x-axis, so it uses the 60° reference values in Quadrant IV.
Question 6
Which graph feature changes when you compare y = sin(x) and y = sin(4x)?
Desmos Move: The inside coefficient changes how quickly the graph repeats.
Question 7
On 0° to 360°, which values solve sin(x) = -1?
Desmos Move: Sine is the y-coordinate, so look for the lowest point on the unit circle.
Question 8
A graph oscillates between 14 and 6. What is the midline value?
Desmos Move: The midline is the average of the maximum and minimum values.
Question 9
Why is checking angle mode important before using Desmos for trig?
Desmos Move: If you type sin(30), the result depends on whether the calculator thinks 30 means degrees or radians.
Question 10
Which situation is modeled best by a trig function?
Desmos Move: Trig models fit situations that repeat in a smooth cycle.