Mathematics 9709 · AS & A Level · Trigonometry

Trigonometry — practice question

It is stated that $\theta$ is an acute angle in degrees, and that $2\sec^2\theta + 3\tan\theta = 22$.

(i)[3]

Find the value for $\tan\theta$.

(ii)[3]

Use an appropriate formula to determine the exact value of $\tan(\theta + 135^\circ)$.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Use identity $\sec^2\theta = 1 + \tan^2\theta$.” …