(i)[3]
Solve the equation given by $|3u + 1| = |2u - 5|$.
(ii)[2]
Hence solve the equation $|3\cot x + 1| = |2\cot x - 5|$ for $0 < x < \frac{1}{2}\pi$, and express your answer correct to $3$ significant figures.
Mathematics 9709 · AS & A Level · Trigonometry
Solve the equation given by $|3u + 1| = |2u - 5|$.
Hence solve the equation $|3\cot x + 1| = |2\cot x - 5|$ for $0 < x < \frac{1}{2}\pi$, and express your answer correct to $3$ significant figures.
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “State, or show implicitly, the equation without the modulus $(3u+1)^2=(2u-5)^2$ or the matching pair of linear equations” …