Trigonometric functions
15 videos
0
6
Trigonometry - Trigonometric Functions: Your Complete Guide
An introduction to trigonometric functions covering the unit circle, radians, sine and cosine graphs, and real-world applications like waves and cycles.
0
3
Trigonometry - The Unit Circle: Defining Sine and Cosine
Learn how the unit circle defines sine and cosine for any angle using x and y coordinates. A visual explanation of trigonometric functions on a circle with radius 1.
0
2
Trigonometry - Radians: A Better Way to Measure Angles
Explains why radians are a more natural way to measure angles than degrees, defining one radian as the angle where arc length equals radius.
0
1
Trigonometry - Converting Between Degrees and Radians
Learn how to convert between degrees and radians using pi/180 and 180/pi. Includes examples converting 120° to 2π/3 and 5π/4 to 225°.
0
1
Trigonometry - Trig Values of Special Angles: π/6, π/4, π/3
Learn how two special triangles (45-45-90 and 30-60-90) provide all the trig values needed for the SAT without memorization.
0
0
Trigonometry - Finding Trig Values of Any Special Angle
Learn how to find sine and cosine of any angle using reference angles and quadrant signs. Master the unit circle with this simple two-step trick.
0
0
Trigonometry - The Pythagorean Identity
Learn how the Pythagorean identity (sin²θ + cos²θ = 1) is derived from the unit circle and right triangles, and why it's fundamental to trigonometry.
0
0
Trigonometry - Using the Pythagorean Identity to Find Trig Values
Learn how to find sine from cosine using the Pythagorean identity when given a quadrant. Demonstrates solving for sine theta when cosine equals -3/5 in quadrant three.
0
0
Trigonometry - Graphs of Sine and Cosine
Learn how sine and cosine graphs work, their key features (domain, range, period), and why they're the same wave shifted by π/2.
0
0
Trigonometry - Midline, Amplitude, and Period of Sinusoidal Functions
Learn the three key features of sinusoidal functions: midline (center), amplitude (height), and period (cycle length). Understand how to identify each from a wave graph.
0
0
Trigonometry - Amplitude, Period, and Midline from an Equation
Learn to find amplitude, period, and midline of sine/cosine functions from equations without graphing. Covers the general form y = a·sin(bx + c) + d and example problems.
0
0
Trigonometry - Graphing Transformed Sinusoidal Functions
Learn to graph y = 2sin(3x) + 1 by finding the midline, amplitude, and period. Step-by-step tutorial shows how transformations affect sine waves.
0
0
Trigonometry - Writing a Sinusoidal Equation from a Graph
Learn to write sinusoidal equations from graphs in 4 steps: find midline, amplitude, period, then choose sine or cosine. Includes a complete example with max/min points.
0
0
Trigonometry - Interpreting Sinusoidal Graphs in Real Life
Learn how to interpret sinusoidal graphs using a Ferris wheel example. Understand midline, amplitude, and period to analyze real-world wave patterns.
0
0
Trigonometry - Modeling Real-World Situations with Sinusoidal Functions
Learn to model daily temperature cycles using sinusoidal functions by finding amplitude, midline, period, and horizontal shift to create a cosine equation.