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Trigonometry: Math: Uncharted

Courses MathTrigonometry

Trigonometry

The bridge from triangles to waves: ratios that never change, the circle that runs them all, and the curves that repeat forever.

Math
Unit 4 of 7
20 lessons
161 min
420 XP

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Lessons

20 total

1One Angle Fixes the ShapeRecognize that similar right triangles preserve the same side ratios.InteractiveConcept7 min20 XPOpen
2Name the SidesName the opposite, adjacent, and hypotenuse sides relative to a marked angle.InteractiveConcept7 min20 XPOpen
3Sine, Cosine, TangentCalculate sine, cosine, and tangent from the sides of a right triangle.InteractiveConcept8 min20 XPOpen
4Ratio WorkoutFind sine, cosine, and tangent ratios in Pythagorean-triple triangles.InteractivePractice9 min20 XPOpen
5Find the Missing SideUse a trigonometric ratio and a hypotenuse to find a missing side.InteractiveConcept8 min20 XPOpen
6Aim by AngleBuild a ramp whose slope and angle match a target tangent ratio.InteractivePractice8 min20 XPOpen
7The One CircleInterpret a radius-4 canvas circle as a legible model of the unit circle.InteractiveConcept8 min20 XPOpen
8Coordinates Are Cosine and SineConnect quarter-turn unit-circle positions with cosine and sine coordinates.InteractiveConcept8 min20 XPOpen
9Walk the RimInterpret radians as distance traveled around a unit circle.InteractiveConcept7 min20 XPOpen
10The Special CornersRecall exact sine and cosine values at 30, 45, and 60 degrees.InteractiveConcept8 min20 XPOpen
11Signs Around the CircleUse quadrant position to determine the signs of sine and cosine.InteractiveConcept8 min20 XPOpen
12Circle WorkoutConnect circle positions, radians, and right-triangle ratios.InteractivePractice9 min20 XPOpen
13The Wave AppearsConnect one turn around the unit circle with one sine-wave cycle.InteractiveConcept8 min20 XPOpen
14Two Waves, One ShiftLocate the angles where sine and cosine have the same value.InteractiveConcept8 min20 XPOpen
15Taller and FasterDistinguish amplitude changes from period changes in sine waves.InteractiveConcept8 min20 XPOpen
16Read the TideRead repeated tide heights and identify times inside a safe launch band.InteractiveConcept8 min20 XPOpen
17Daylight Around the YearCompare two seasonal cycles and locate their widest separation.InteractiveConcept8 min20 XPOpen
18Wave WorkoutRead and locate wave crests, troughs, amplitudes, and periods.InteractivePractice9 min20 XPOpen
19Tangent RisesLocate a tangent value and connect it with right-triangle slope.InteractiveConcept8 min20 XPOpen
20Trigonometry Mastery CheckCoordinate a triangle ratio, a unit-circle position, and a wave crest.InteractiveMastery check9 min40 XPOpen

Geometry Pre-calculus