If sec4A `="cosec"(A-20^@)` where 4A is an acute angle , find the value of A.

Explanation

To solve the equation \( \sec 4A = \csc (A - 20^\circ) \) where \( 4A \) is an acute angle, we can follow these steps:

### Step 1: Rewrite the secant and cosecant functions
We know that:
\[ \sec x = \frac{1}{\cos x} \quad \text{and} \quad \csc x = \frac{1}{\sin x} \]
Thus, we can rewrite the equation as:
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