Course home

7.2 Double Angle Formulae

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23

Question 16

The angular displacement, $ϕ\phi$ , of a high-precision robotic arm relative to its equilibrium position is modelled by the equilibrium state equation:

\sec \phi = 32 \sin \phi

Show that this equation can be expressed in the form $sin⁡2ϕ=k\sin 2\phi = k$ , where $k\,$ is a constant to be determined.

[4]

Hence, find the smallest positive value of $ϕ\phi$ , in degrees, that satisfies this equilibrium state. Give your answer to one decimal place.

[3]

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

Question bank

7.2 Double Angle Formulae

Easy Medium

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23

Question 16

The angular displacement, $ϕ\phi$ , of a high-precision robotic arm relative to its equilibrium position is modelled by the equilibrium state equation:

\sec \phi = 32 \sin \phi

Show that this equation can be expressed in the form $sin⁡2ϕ=k\sin 2\phi = k$ , where $k\,$ is a constant to be determined.

[4]

Hence, find the smallest positive value of $ϕ\phi$ , in degrees, that satisfies this equilibrium state. Give your answer to one decimal place.

[3]

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.