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Trigonometry That Makes Sense

Visual. Memorable. Connected. Whether you're teaching a full unit or prepping for the SAT, this trig page helps students build lasting fluency with triangles, circles, and graphs — step by step.

📐 Trigonometry Units

📏 Unit 1: Special Right Triangles

Discover the patterns behind 30-60-90 and 45-45-90 triangles and how they power the unit circle.

Radicals • Ratios • Geometry Review

🔁 Unit 2: Introduction to Angles

Master coterminal angles, reference angles, and the difference between degrees and radians.

Rotation • ASTC • Reference Angles

🟣 Unit 3: The Unit Circle

Build the circle, memorize coordinates, and understand why those trig values actually make sense.

Exact Values • Symmetry • Patterns

📐 Unit 4: Right Triangle Trig

Connect sine, cosine, and tangent to sides of right triangles and solve missing parts.

SOHCAHTOA • Inverses • Applications

📈 Unit 5: Graphing Trig Functions

Explore sine, cosine, and tangent as graphs with amplitude, period, and phase shift.

Waves • Periodic Motion • Modeling

🔐 Unit 6: Trig Identities

Use and verify trig identities to simplify expressions and prove relationships.

Pythagorean • Quotient • Strategy Practice

🧠 Unit 7: Solving Trig Equations

Find angle solutions in multiple ways using algebra, graphs, and inverse functions.

Interval Solutions • Graphing • Applications

📐 Unit 8: Laws of Sines & Cosines

Apply trig in non-right triangles using Law of Sines, Law of Cosines, and area formulas.

Oblique Triangles • Applications • Ambiguous Case

📊 Unit 9: Modeling with Trig Functions

Use sine and cosine functions to model real-world periodic behavior with context and precision.

Amplitude • Frequency • Phase Shift • Applications