(main)[6]
Determine the values that $\theta$ and $\phi$ can take.
Mathematics 9709 · AS & A Level · Trigonometry
Trigonometry — practice question
The angles $\theta$ and $\phi$ each lie in the interval from $0^\circ$ to $180^\circ$, and they satisfy $\tan(\theta - \phi) = 3$ and $\tan \theta + \tan \phi = 1$.
Worked solution & mark scheme
This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Use $\tan(A\pm B)$ to derive an equation involving $\tan\theta$ and $\tan\phi$” …
- Full mark scheme, point by point
- Step-by-step worked solution
- Write your answer & get it marked instantly by AI