Solve: \(\sin \theta = \tan \theta\)

Assessment: WAEC SSCE - Further Mathematics - 2013 (Objective) Subject: Further Mathematics

Question 1 Report

Solve: \(\sin \theta = \tan \theta\)

Answer Details
We can use the trigonometric identity \(\tan \theta = \dfrac{\sin \theta}{\cos \theta}\) to rewrite the given equation as \(\sin \theta = \dfrac{\sin \theta}{\cos \theta}\). Multiplying both sides by \(\cos \theta\) and simplifying, we get \(\cos \theta = 1\). Therefore, the possible solutions are those angles whose cosine is 1, which are multiples of 360 degrees. Among the given options, only 0 degrees (option D) is a multiple of 360 degrees. So, the answer is \(\theta = 0^{\circ}\).
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