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Without using a calculator, determine the exact value of $\tan(A - B)$.
Mathematics 9709 · AS & A Level · Trigonometry
Trigonometry — practice question
Angles $A$ and $B$ satisfy $\sin(A + 45^\circ) = (2\sqrt{2}) \cos A$ and $4\sec^2 B + 5 = 12 \tan B$.
Worked solution & mark scheme
This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Either state directly, or make clear, that $\sin A\cos45+\cos A\sin45=2\sqrt2\cos A$.” …
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