Evaluate :
`3(sin 72^(@))/(cos 18^(@))-(sec 32^(@))/(cosec 58^(@))`

Answer

To evaluate the expression \( 3 \left( \frac{\sin 72^\circ}{\cos 18^\circ} \right) - \left( \frac{\sec 32^\circ}{\csc 58^\circ} \right) \), we can follow these steps:

### Step 1: Rewrite the trigonometric functions
We know that:
- \( \cos(90^\circ - \theta) = \sin(\theta) \)
- \( \sec(90^\circ - \theta) = \csc(\theta) \)

Using these identities, we can rewrite \( \sin 72^\circ \) and \( \sec 32^\circ \):
- \( \sin 72^\circ = \cos(90^\circ - 72^\circ) = \cos 18^\circ \)
- \( \sec 32^\circ = \csc(90^\circ - 32^\circ) = \csc 58^\circ \)

### Step 2: Substitute the rewritten functions into the expression
Now, substituting these identities into the original expression:
\[ 3 \left( \frac{\sin 72^\circ}{\cos 18^\circ} \right) = 3 \left( \frac{\cos 18^\circ}{\cos 18^\circ} \right) = 3 \]
And for the second part:
\[ \frac{\sec 32^\circ}{\csc 58^\circ} = \frac{\csc 58^\circ}{\csc 58^\circ} = 1 \]

### Step 3: Combine the results
Now we can combine the results:
\[ 3 - 1 = 2 \]

### Final Answer
Thus, the evaluated expression is:
\[ \boxed{2} \]