Trigonometry
11 videos
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Algebra 2 - What Is Trigonometry and Why Should You Care?
Learn how trigonometry uses sine, cosine, and tangent to relate angles and sides in triangles, and how these functions model waves and repeating patterns in nature.
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Algebra 2 - Radians: A Better Way to Measure Angles
This video explains radians as a natural way to measure angles using a circle's radius, showing why 2π radians equals 360 degrees and how π radians equals 180 degrees.
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Algebra 2 - Converting Between Radians and Degrees
Learn how to convert between radians and degrees using the key relationship: π radians = 180°. Includes step-by-step examples and conversion formulas.
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Algebra 2 - The Pythagorean Identity
Learn how the Pythagorean identity connects sine and cosine using the unit circle. Discover why sin²θ + cos²θ = 1 always holds true for any angle.
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Algebra 2 - Finding Cosine from Sine Using the Pythagorean Identity
Learn how to find cosine when you know sine using the Pythagorean identity, and why checking the quadrant is crucial for determining the correct sign.
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Algebra 2 - Graphs of Sine and Cosine
Learn the graphs of sine and cosine functions, their key points, shared features (domain, range, period), and how they differ only in starting position.
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Algebra 2 - Midline, Amplitude, and Period of Sinusoidal Functions
Learn to identify the three key features of sinusoidal functions: midline, amplitude, and period by analyzing wave patterns on a graph.
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Algebra 2 - Reading Amplitude, Period, and Midline from an Equation
Learn how to analyze sinusoidal wave equations by identifying amplitude, period, and midline from the coefficients a, b, and d without graphing.
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Algebra 2 - Graphing a Transformed Sinusoidal Function
Learn to graph sine functions by finding midline, amplitude, and period. Step-by-step tutorial using y = 3sin(½x) - 2 as an example.
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Algebra 2 - Writing a Sinusoidal Equation from a Graph
Learn how to write a sinusoidal equation from a graph by finding amplitude, midline, period, and choosing sine or cosine in four clear steps.
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Algebra 2 - Modeling Real-World Situations with Sinusoidal Functions
Learn to model yearly temperature patterns using sinusoidal functions by finding midline, amplitude, and period to create a mathematical equation.