2023 YTSS P1 Q7

2023 YTSS P1 Q7

Secondary 4
4 marks
  1. Show that \(\dfrac{\sin(A+B)+\sin(A-B)}{\cos(A+B)+\cos(A-B)}=\tan A\).[2]
  2. Hence, find the exact value of \(\dfrac{\sin105^\circ+\sin15^\circ}{\cos105^\circ+\cos15^\circ}\).[2]

Solution:

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Answer:(a) Proved. (b) \(\sqrt3\).

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