examday

tmua.me papers

tmua.me Medium Set C Paper 2 · Q15

Paper 2Trigonometry

Find the sum of all the distinct solutions θ\theta of

1+sin⁡θ+1−sin⁡θ=2 (sin⁡θ+cos⁡θ)\sqrt{1+\sin\theta}+\sqrt{1-\sin\theta} =\sqrt2\,(\sin\theta+\cos\theta)

for which 0≤θ<2π0\leq\theta<2\pi.

Aπ6\dfrac{\pi}{6}
Bπ2\dfrac{\pi}{2}
C2π3\dfrac{2\pi}{3}
D4π3\dfrac{4\pi}{3}
E13π6\dfrac{13\pi}{6}
F10π3\dfrac{10\pi}{3}

Read the questions freely. Sign in to check your answer, see the worked solution and save your progress.

Sign in to check your answerPractise the whole paper →