examday

tmua.me papers

tmua.me Medium Set B Paper 1 · Q13

Paper 1Trigonometry

The angles α\alpha and β\beta satisfy

0<α<β<π2,0<\alpha<\beta<\frac\pi2,
sin⁡α+cos⁡α=sin⁡β+cos⁡β,tan⁡α+tan⁡β=4.\sin\alpha+\cos\alpha=\sin\beta+\cos\beta, \qquad \tan\alpha+\tan\beta=4.

What is the value of sin⁡β−sin⁡α\sin\beta-\sin\alpha?

A−22-\dfrac{\sqrt2}{2}
B00
C14\dfrac14
D12\dfrac12
E62\dfrac{\sqrt6}{2}
F22\dfrac{\sqrt2}{2}

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 →