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4:15
YouTube
Mathematical Visual Proofs
Trig Visualized: One Diagram to Rule them All (six trig functions in one diagram)
In this video, we show a single diagram consisting of various triangles that connects the six primary trig functions (sine, cosine, tangent, secant, cosecant, and cotangent) to lengths of line segments created from the unit circle (circle of radius 1). We use the diagram to explain features about why tangent and secant aren't defined at pi/2 ...
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Aug 25, 2023
Triangular Function Graph
A triangular pulse has applications in timer circuitry. You can approximate a triangular pulse with the following function, where x is expressed in radians: y=sinx-(1)/(3^2) sin3 x (1)/(5^2) sin5 x-(1)/(7^2) sin7 x ⋯The more terms you add, the closer the graph approaches a triangular pulse. (a) Graph two complete cycles of the first three terms of this function. That is, graph y1=sinx-(1)/(3^2) sin3 x (1)/(5^2) sin5 x with Xmin =0 and X max=4 π. (b) Graph two complete cycles of the first six ter
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