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Trigonometric and Exponential Graphs

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Question 7

The height of a buoy above the seabed, h h\,h metres, fluctuates with the waves according to the formula: h=15−5sin⁡(60t)h = 15 - 5\sin(60t)h=15−5sin(60t), where t t\,t is the time in hours after 6:00 AM.

a.

On the axes below, draw the graph of h h\,h against t t\,t for 0≤t≤60 \leq t \leq 60≤t≤6

A coordinate grid for plotting the height h against time t.

[4]
b.

Find the two values of ttt, where 0≤t≤120 \leq t \leq 120≤t≤12, when the height of the buoy is least.

[2]

Trigonometric and Exponential Graphs Questions

  1. GCSE
  2. /Maths
  3. /Trigonometric and Exponential Graphs

Practise Eduqas GCSE Maths Trigonometric and Exponential Graphs with exam-style questions for Foundation and Higher tier. 31 questions, matched to the Eduqas GCSE Maths (C300QS) specification and written in Component 1 and Component 2 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

Question bank