Practice Set 4
10 Mixed Review Questions
This set blends unit-circle values, angle conversion, period and amplitude work, and quick graph interpretation.
Practice Questions
Mixed Practice A: Trig Skills Switch
Use this set to move between direct trig values, graph features, and quick periodic interpretation without losing accuracy.
Question 1
What is cos 60°?
Desmos Move: In degree mode, cos(60) confirms the special-angle value.
Question 2
Which degree measure is equivalent to 3π/2 radians?
Desmos Move: Since π radians equals 180°, half of that is π/2 or 90°.
Question 3
A trig graph has a maximum of 8 and a minimum of 2. What is its amplitude?
Desmos Move: Amplitude is half the total vertical distance from max to min.
Question 4
Which interval length matches the period of y = sin(3x)?
Desmos Move: Divide 2π by the inside coefficient to find the period.
Question 5
Which value is a solution to tan(x) = 1 on 0° to 180°?
Desmos Move: tan(x) = 1 when sine and cosine have equal magnitude and the ratio is positive.
Question 6
What is the midline of y = 4 sin(x) + 6?
Desmos Move: The vertical shift sets the midline.
Question 7
A daylight model repeats every 24 hours. Which quantity is 24?
Desmos Move: The repeat time in context is the period.
Question 8
Which equation shows a reflection across the x-axis?
Desmos Move: A negative sign in front of the whole trig function reflects the graph vertically.
Question 9
How many degrees are in 2π radians?
Desmos Move: 2π radians is one full turn around the unit circle.
Question 10
Which point lies on y = sin(x) at x = 0?
Desmos Move: The parent sine graph starts on its midline at x = 0.