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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: 121:36

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 mass is supported by a spring so that it rests 50 cm above a table top, as shown in the diagram below. The mass is pulled down to a height of 20 cm above the table top and released at time t = 0. It takes 0.8 seconds for the mass to reach a maximum height of 80 cm above the table top. As the mass moves up and down, its height h, in cm, above the table top, is approximated by a sinusoidal function of the elapsed time t, in seconds, for a short period of time.

a)Graph how the height h of the mass varies with respect to the elapsed time t.b)Determine a sinusoidal function that gives the mass's height h above the table top as a function of time t secondsc)What is the height of the mass 1.4 seconds after being released?d)Find the time t when the mass is 70cm above the table top for the third time?

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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