LEVEL-V SINGLE ANSWER TYPE QUESTIONS If we consider only the principal values of the inverse trigonometric functions then the value 4 5/2-sin'而)is of tan cos (IIT 1994)

Explanation

To solve the given problem, we need to evaluate the expression \(4 \cdot \frac{5}{2} - \sin^{-1}(x)\) in terms of the principal values of the inverse trigonometric functions.

### Step-by-Step Solution:

1. **Understanding the Expression**:
We start with the expression \(4 \cdot \frac{5}{2} - \sin^{-1}(x)\). We can first simplify \(4 \cdot \frac{5}{2}\).

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