Solved: If $\sin \theta = \frac{3}{5}$ and $\theta$ is acute, find the value of $\tan \theta$

Question

If $\sin \theta = \frac{3}{5}$ and $\theta$ is acute, find the value of $\tan \theta$

Verified Answer

$\frac{3}{4}$

Explanation & Step-by-Step Solving

Solving: Using a standard 3-4-5 right triangle, the adjacent side is $\sqrt{5^2 - 3^2} = 4$ . $\tan \theta = \frac{\text{Opposite}}{\text{Adjacent}} = \frac{3}{4}$

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