Modelling with Trigonometric Functions (Edexcel A-Level Mathematics): Quizzes

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Modelling with Trigonometric Functions
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What type of behaviour do trig functions model in real-world scenarios?

Periodic behaviour

In y(t)=Asin(Bt+C)+Dy(t) = A \sin(Bt + C) + D, what does parameter AA represent?

Amplitude

If the period is TT, what is the formula for parameter BB?

B=2πTB = \frac{2\pi}{T}

When should you use a sine function rather than cosine?

Starts at midline

What is the formula for amplitude AA given max and min values?

A=maxmin2A = \frac{\text{max} - \text{min}}{2}

How do you calculate vertical shift DD from max and min?

D=max+min2D = \frac{\text{max} + \text{min}}{2}

In the Ferris wheel example, how high is the centre above ground?

12 meters

For a period of 30 seconds, what is the value of BB?

π15\frac{\pi}{15}

In the daylight example, what is the amplitude value?

4 hours

Which field uses trig modelling for heartbeats and circadian cycles?

Biology

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