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TMUAmockz Set 1 Paper 1 · Q3

Paper 1TrigonometryGeometry

Find the area of the region of the coordinate plane satisfying

0≤x≤π2,0≤y≤π2,andsin⁡(x+y)≤12.0\le x\le\frac\pi2,\quad0\le y\le\frac\pi2,\quad\text{and}\quad\sin(x+y)\le\frac12.
Aπ272\dfrac{\pi^2}{72}
Bπ236\dfrac{\pi^2}{36}
Cπ218\dfrac{\pi^2}{18}
Dπ212\dfrac{\pi^2}{12}
Eπ29\dfrac{\pi^2}9
Fπ26\dfrac{\pi^2}6

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