Mathematics 9709 · AS & A Level · Trigonometry

Trigonometry — practice question

You are told that $3\sin 2\theta = \cos \theta$, with $\theta$ an angle satisfying $0^\circ < \theta < 90^\circ$.
(a)[2]

Find the exact value for $\sin \theta$.

(b)[2]

Find the exact value for $\sec \theta$.

(c)[2]

Find the exact value for $\cos 2\theta$.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Use the identity $\sin2\theta=2\sin\theta\cos\theta$” …

  • Full mark scheme, point by point
  • Step-by-step worked solution
  • Write your answer & get it marked instantly by AI