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7.2 Double Angle Formulae

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Question 22

A mechanical engineer models the efficiency, $E$ , of a specialized turbine using the function

E(\theta) = 4 \cos 2\theta + 2 \cos \theta + 6

where $\theta\,$ is the blade pitch angle in degrees.

Find all values of $θ\theta$ , for $\le \theta < 360^\circ$ , for which the efficiency is exactly 5. Give your solutions to one decimal place where appropriate.

(Solutions based entirely on graphical or numerical methods are not acceptable.)

[5]

Markscheme

7.2 Double Angle Formulae Questions

A Level
Maths
7.2 Double Angle Formulae

24 exam-style questions on Edexcel A Level Maths 7.2 Double Angle Formulae. Each one has a worked solution and a mark scheme showing where the marks go.

7.2 Double Angle Formulae

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7.2 Double Angle Formulae

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Question 22

A mechanical engineer models the efficiency, $E$ , of a specialized turbine using the function

E(\theta) = 4 \cos 2\theta + 2 \cos \theta + 6

where $\theta\,$ is the blade pitch angle in degrees.

Find all values of $θ\theta$ , for $\le \theta < 360^\circ$ , for which the efficiency is exactly 5. Give your solutions to one decimal place where appropriate.

(Solutions based entirely on graphical or numerical methods are not acceptable.)

[5]

Markscheme

7.2 Double Angle Formulae Questions

A Level
Maths
7.2 Double Angle Formulae

24 exam-style questions on Edexcel A Level Maths 7.2 Double Angle Formulae. Each one has a worked solution and a mark scheme showing where the marks go.