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Trigonometry

Sine graph: y = sin xTrigonometry

Cosine graph: y = cos xTrigonometry

Graphing transformations of trigonometric functions- Home
- Sixth Year Maths
- Applications of Trigonometric Functions

Still Confused?

Try reviewing these fundamentals first

Trigonometry

Sine graph: y = sin xTrigonometry

Cosine graph: y = cos xTrigonometry

Graphing transformations of trigonometric functionsStill Confused?

Try reviewing these fundamentals first

Trigonometry

Sine graph: y = sin xTrigonometry

Cosine graph: y = cos xTrigonometry

Graphing transformations of trigonometric functionsNope, got it.

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Get Started Now- Lesson: 138:37

Basic Concepts: Sine graph: y = sin x, Cosine graph: y = cos x, Graphing transformations of trigonometric functions

Related Concepts: Reference angle, Find the exact value of trigonometric ratios, ASTC rule in trigonometry (**A**ll **S**tudents **T**ake **C**alculus), Converting between degrees and radians

- 1.A Ferris wheel has a radius of 18 meters and a center C which is 20m above the ground. It rotates once every 32 seconds in the direction shown in the diagram. A platform allows a passenger to get on the Ferris wheel at a point P which is 20m above the ground. If the ride begins at point P, when the time t = 0 seconds:

a)Graph how the height h of a passenger varies with respect to the elapsed time t during one rotation of the Ferris wheel. Clearly show at least 5 points on the graph.b)Determine a sinusoidal function that gives the passenger's height, h, in meters, above the ground as a function of time t seconds.c)How high above the ground would a passenger be 18 seconds after the Ferris wheel starts moving?d)How many seconds on each rotation is a passenger more than 30m in the air?

16.

Applications of Trigonometric Functions

16.1

Ferris wheel trig problems

16.2

Tides and water depth trig problems

16.3

Spring (simple harmonic motion) trig problems

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