If $ an heta = \frac{5}{12}$, then the value of $\frac{\sin heta + \cos heta}{\sin heta - \cos heta}$ is:

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If $	an 	heta = \frac{5}{12}$, then the value of $\frac{\sin 	heta + \cos 	heta}{\sin 	heta - \cos 	heta}$ is:

Accepted Answer

Step 1: Dividing numerator and denominator by $\cos 	heta$: $\frac{	an 	heta + 1}{	an 	heta - 1} = \frac{\frac{5}{12} + 1}{\frac{5}{12} - 1} = \frac{\frac{17}{12}}{-\frac{7}{12}} = -\frac{17}{7}$

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