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.

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.

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.

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.

3.4 Trigonometry (A-level only)

Question 149

Markscheme

3.4 Trigonometry (A-level only)

Question 149

Markscheme

3.4 Trigonometry (A-level only)

Question 149

3.4 Trigonometry (A-level only) Questions

3.4 Trigonometry (A-level only)

Question 149

3.4 Trigonometry (A-level only) Questions