Course home

6.4 Trigonometric Identities

Question 12

The angle of rotation $ψ\psi$ of a high-precision robotic arm, where $\psi < \pi$ , is determined by the following equilibrium equation:

4\cot^2 \psi + 2 = 4\csc \psi + 13

Show that the equation can be written in the form

a\csc^2 \psi + b\csc \psi + c = 0

where $a$ , $b$ , and $c$ are integers to be found.

[3]

Hence, given that the robotic arm is positioned at an obtuse angle $ψ\psi$ that satisfies the original equation, find the exact value of $tan⁡ψ\tan \psi$ . Fully justify your answer.

[4]

Markscheme

6.4 Trigonometric Identities Questions

A Level
Maths
6.4 Trigonometric Identities

12 exam-style questions on Edexcel A Level Maths 6.4 Trigonometric Identities. Each one has a worked solution and a mark scheme showing where the marks go.

6.4 Trigonometric Identities

Question bank

6.4 Trigonometric Identities

Medium

1 2 3 4 5 6 7 8 9 10 11 12

Question 12

The angle of rotation $ψ\psi$ of a high-precision robotic arm, where $\psi < \pi$ , is determined by the following equilibrium equation:

4\cot^2 \psi + 2 = 4\csc \psi + 13

Show that the equation can be written in the form

a\csc^2 \psi + b\csc \psi + c = 0

where $a$ , $b$ , and $c$ are integers to be found.

[3]

Hence, given that the robotic arm is positioned at an obtuse angle $ψ\psi$ that satisfies the original equation, find the exact value of $tan⁡ψ\tan \psi$ . Fully justify your answer.

[4]

Markscheme

6.4 Trigonometric Identities Questions

A Level
Maths
6.4 Trigonometric Identities

12 exam-style questions on Edexcel A Level Maths 6.4 Trigonometric Identities. Each one has a worked solution and a mark scheme showing where the marks go.