We are given that $\sin A = \frac{3}{8}$ and $\tan A = \frac{3}{4}$. We need to find the value of $\cos A$.

1. Problem Description

We are given that $\sin A = \frac{3}{8}$ and $\tan A = \frac{3}{4}$. We need to find the value of $\cos A$.

2. Solution Steps

We know that $\tan A = \frac{\sin A}{\cos A}$. We can rearrange this formula to solve for $\cos A$:

$\cos A = \frac{\sin A}{\tan A}$

We are given that $\sin A = \frac{3}{8}$ and $\tan A = \frac{3}{4}$. Substituting these values into the equation gives:

$\cos A = \frac{\frac{3}{8}}{\frac{3}{4}}$

$\cos A = \frac{3}{8} \cdot \frac{4}{3}$

$\cos A = \frac{3 \cdot 4}{8 \cdot 3}$

$\cos A = \frac{12}{24}$

$\cos A = \frac{1}{2}$

3. Final Answer

The value of $\cos A$ is $\frac{1}{2}$.

The answer is b. 1/2.