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What is the trigonometric graph sine

572 views · Published 8 November 2012 · 5:15 · Indexed 27 October 2026

Channel: Brian McLogan · 2012 · Education

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👉 Learn the basics to graphing sine and cosine functions. The sine graph is a sinusiodal graph with x-intercepts at x = 2n*pi, maximun value of 1 at x = pi/2 + 2n*pi and minimum value of -1 at x = -pi/2 + 2n*pi. The cosine graph is a sinusiodal graph with x-intercepts at x = n*pi/2, maximum value of 1 at x = 2n*pi and minimum value of -1 at x = (2n - 1)pi. To graph the sine and the cosine graph, we plot the above points on the x-y coordinate plane and graph accordingly.

After we have graphed the parent graph, we then apply the required transformations to the sine/cosine graph.  The amplitude is the maximum point on the graph, the period is the distance/time for a complete oscillation, the phase shift is the horizontal shift from the parent function, the vertical shift is the vertical shift from the parent function.

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Organized Videos:
✅ How to Graph Trigonometric Functions
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMrZezax54e9Z-z244vWKKxg
✅ How to Graph Tangent | Learn About
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMqFKZbDWNjkSSAfh_jHCQP7
✅ How to Graph Secant | Learn About
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMoV1eNuVw8yw-bFm2esIy1O
✅ How to Graph Sine and Cosine | Learn About
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMrr0Wlae-n4hMJJhUwP3iSq
✅ How to Graph Trigonometric Functions | Learn About
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMoNSfUJiOdYHuY48HcBmJCT
✅ How to Graph The Sine Function
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✅ How to Graph The Cosine Function
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMpPNHvdu7KQh6-JSwZ6iXP4
✅ How to Graph The Tangent Function
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMoRxX9OoILOvRHiXmhSfwy5
✅ How to Graph The Cotangent Function
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMrMv8zw6XNJvip377ific7_
✅ How to Graph Cosecant Function
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMo_kMHqDAQluPNCcehmoPfG
✅ How to Graph The Secant Function
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMrbXSACmBZ7kIGc0fLXpGjj

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