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- Graphs of Trigonometric Functions
Determining trigonometric functions given their graphs
- Lesson: 1a37:46
- Lesson: 1b13:39
- Lesson: 213:00
Determining trigonometric functions given their graphs
Basic Concepts: Sine graph: y = sin x, Cosine graph: y = cos x, Graphing transformations of trigonometric functions
Related Concepts: Ferris wheel trig problems, Tides and water depth trig problems, Spring (simple harmonic motion) trig problems
Lessons
- 1.For the following graph, write an equation (with the smallest phase shift) in the form of:
(i) y = a sin b(x - c) + d
(ii) y = - a sin b(x - c) + d
(iii) y = a cos b(x - c) + d
(iv) y = - a cos b(x - c) + da)
b)
- 2.A sinusoidal curve has a minimum point at (−3π,−5) and the closest maximum point to the right is (6π,3). Determine an equation of this curve.
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44.
Graphs of Trigonometric Functions
44.1
Sine graph: y = sin x
44.2
Cosine graph: y = cos x
44.3
Tangent graph: y = tan x
44.4
Cotangent graph: y = cot x
44.5
Secant graph: y = sec x
44.6
Cosecant graph: y = csc x
44.7
Graphing transformations of trigonometric functions
44.8
Determining trigonometric functions given their graphs