IB Maths AA HL AA 3.2 Radians and circular functions questions

Exam-style questions in the shape of Paper 1 and Paper 2, with full markschemes. Read the markscheme, or type, photograph or draw your answer and get it marked.

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Question 1

Paper 2, calculatorEasy5 marks

A simplified model for the water depth at a harbour is

h(t)=2.4+1.6\sin\left(\frac{\pi}{6}(t-2)\right),

where $h$ is measured in metres and $t$ is the number of hours after midnight.

(a)

State the amplitude and the midline height of the model.

[2]

(b)

Determine the period of the model.

[1]

(c)

Calculate the water depth at $t=5$

[2]

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