Question 34

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Jambmaths question: 

If $\sin \theta =\frac{3}{5}$, find $\tan \theta $

Option A: 

$\tfrac{3}{4}$

Option B: 

$\tfrac{3}{5}$

Option C: 

$\tfrac{2}{5}$

Option D: 

$\tfrac{1}{4}$

Jamb Maths Solution: 

$\begin{align}  & \text{by definition }\sin \theta =\frac{opp}{hyp}=\frac{AB}{AC} \\ & \text{Using Pythagoras}\text{ theorem} \\ & BC=\sqrt{{{5}^{2}}-{{3}^{2}}} \\ & BC=\sqrt{25-9}=\sqrt{16}=4 \\ & \tan \theta =\frac{opp}{adj}=\frac{AB}{BC}=\frac{3}{4} \\\end{align}$

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