Mathematics 9709 · AS & A Level · Trigonometry

Trigonometry — practice question

You are told that $\theta$ is an acute angle, measured in degrees, and that $2\sec^2\theta + 3\tan\theta = 22$.
(i)[3]

Find the exact value of $\tan\theta$.

(ii)[3]

Use a suitable 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 the identity $\sec^2\theta=1+\tan^2\theta$ to rewrite the expression.

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