Practice Set 1
10 Foundational Questions
This set focuses on special-angle values, radians and degrees, amplitude, period, midline, and simple periodic meaning.
Practice Questions
DOK 1 Practice Set: Trig Foundations
Use Desmos in the correct angle mode while you review familiar trig values, graph vocabulary, and basic periodic ideas.
Question 1
What is sin 30°?
Desmos Move: In degree mode, type sin(30) to confirm the value quickly.
Question 2
How many degrees are in π radians?
Desmos Move: Use the fact that π radians is a half-turn on the unit circle.
Question 3
Which ordered pair matches 90° on the unit circle?
90° is the top point of the unit circle, so its coordinate is (0, 1).
Desmos Move: 90° points straight up on the unit circle, so the x-value is 0 and the y-value is 1.
Question 4
What is the amplitude of y = 3 sin(x) - 2?
Desmos Move: Amplitude is the distance from the midline to a peak, and it matches the absolute value of the sine coefficient.
Question 5
What is the period of y = cos(x)?
Desmos Move: A basic cosine graph repeats every full cycle from 0 to 2π.
Question 6
What is the midline of y = -1 + 2 cos(x)?
Desmos Move: The midline is the vertical shift, which is the number added outside the trig function.
Question 7
What is tan 45°?
Desmos Move: In degree mode, tan(45) confirms a familiar special-angle value.
Question 8
Which radian measure is equivalent to 90°?
Desmos Move: Since 180° equals π, half of 180° equals π/2.
Question 9
What is the maximum value of y = 2 cos(x) + 1?
Desmos Move: Cosine reaches 1 at its highest point, so multiply first and then shift up.
Question 10
A Ferris wheel completes one full rotation every 40 seconds. What is the period of a trig model for the ride?
Desmos Move: Period means the time for one full repeat of the motion.