If $\cos A = \frac{3}{5}$, then the value of $ an A$ is:

Question

If $\cos A = \frac{3}{5}$, then the value of $	an A$ is:

Accepted Answer

Using a 3-4-5 right triangle with base 3, hypotenuse 5, perpendicular $=\sqrt{5^2-3^2}=4$. So $\sin A = \frac45$. $$	an A = \frac{\sin A}{\cos A}=\frac{4/5}{3/5}=\frac{4}{3}$$

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