Mathematics 9709 · AS & A Level · Trigonometry

Trigonometry — practice question

(a)[3]

Demonstrate that the equation $3\tan^2 x - 3\sin^2 x - 4 = 0$ can be rewritten in the form $a\cos^4 x + b\cos^2 x + c = 0$, with $a$, $b$ and $c$ as the constants to determine.

(b)[4]

Hence solve the equation $3\tan^2 x - 3\sin^2 x - 4 = 0$ for $0^\circ \leq x \leq 180^\circ$.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: Use $\tan^2x=\frac{\sin^2x}{\cos^2x}$ and then multiply by $\cos^2x$

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