Sine
A trig function that can describe vertical position on the unit circle and repeating wave patterns.
Back to NC Math 3 Home6 Practice Sets Complete
Math 3 Strand
Trigonometric Functions
This strand review helps students connect trig values, repeating graphs, and calculator-based checks so they can read periodic patterns more confidently on the NC Math 3 EOC.
Focus on sine, cosine, tangent, degree-radian conversion, amplitude, period, midline, transformations, and simple periodic models while using Desmos strategically to compare equations and graphs.
Confidence Check
If you can move through Sets 1 to 6 in order, explain how a trig graph repeats, and use Desmos to test angles, intercepts, and period, you are building real NC Math 3 EOC readiness.
Objectives Covered
- Evaluate sine, cosine, and tangent for familiar angles using triangle and unit-circle reasoning.
- Convert between degrees and radians so angle measures stay consistent in equations, graphs, and models.
- Identify amplitude, period, and midline from trig equations and graphs.
- Interpret transformations of sine and cosine graphs, including shifts and reflections.
- Solve simple trig equations on common intervals and check solutions with Desmos when helpful.
- Use periodic models to describe repeating real-world situations such as motion, height, and seasonal patterns.
Key Vocabulary
Student-Friendly Terms to Know
These words appear often in class, in Desmos work, and on trigonometric-function EOC questions.
Cosine
A trig function that can describe horizontal position on the unit circle and repeating wave patterns.
Tangent
A trig function found by comparing sine and cosine, often used to describe slope-like change.
Unit Circle
A circle with radius 1 centered at the origin that helps connect angles to trig values.
Radians
Another way to measure angles. Trig graphs and many calculator settings use radians.
Amplitude
The distance from the midline to a peak or a trough on a trig graph.
Period
The length of one full repeating cycle on a graph or in a model.
Midline
The horizontal line halfway between the maximum and minimum values of a trig graph.
Transformation
A shift, reflection, or stretch that changes the basic shape or position of a trig graph.
Periodic Model
An equation that represents a pattern repeating again and again over equal intervals.
Practice Questions
Choose a Trigonometric Functions Practice Set
All 6 sets are ready to use. Start with the direct skill-builders, then move into mixed review and challenge work to build steadier EOC confidence.
Recommended Practice Order
Sets 1 to 6 for Most Students
This order moves from core trig skills to mixed review so students can build confidence before the final readiness check.
1
Practice Set 1
Start with angle and graph basics.
Review special-angle values, degrees and radians, amplitude, period, and midline first.
2
Practice Set 2
Connect equations to graphs.
Match trig equations, unit-circle ideas, and graph features in multi-step tasks.
3
Practice Set 3
Push into stronger reasoning.
Explain transformations, justify solutions, and interpret periodic situations more carefully.
4
Practice Set 4
Practice switching question types.
Move between quick angle work, graph interpretation, and simple modeling.
5
Practice Set 5
Take on EOC-style challenge items.
Blend transformations, equation solving, and periodic interpretation in one stronger set.
6
Practice Set 6
Finish with a readiness check.
Use the final mixed set to test accuracy, pacing, and overall trig confidence.
Practice Set 1
DOK 1 Practice Set
Review sine, cosine, tangent, familiar angles, radians and degrees, and basic graph vocabulary.
Practice Set 2
DOK 2 Practice Set
Connect unit-circle values, transformed graphs, and simple trig equations in more connected problems.
Practice Set 3
DOK 3 Practice Set
Use strategic reasoning to analyze periodic models, compare trig equations, and justify graph choices.
Practice Set 4
Mixed Practice A
Blend angle measures, graph reading, and equation-solving so students practice switching demands.
Practice Set 5
EOC Challenge Set
Tackle stronger trig questions with transformations, periodic models, and common calculator-check moments.
Practice Set 6
Mixed Readiness Check
Finish with a short trig review set that checks pacing, accuracy, and EOC-style readiness.