Question Statement:
For 0 ≤ x ≤ 2𝜋, sin x and cos x are both decreasing functions in the interval ________.
(A) (0,
𝜋
2) (B) (
𝜋
2 , 𝜋) (C) (𝜋,
3𝜋
2 ) (D) (
3𝜋
2 , 2𝜋)
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE BT 2018 Q.3)**
**1. Governing Concept & Domain**:
This question evaluates **Quantitative & Analytical Aptitude** under *General Aptitude* (1 Mark, NAT).
**2. Quantitative Bioprocess Computation**:
- Identifying biological constants, substrate concentrations, and operational inputs.
- Evaluating the closed-form kinetic expression:
$\text{Bioprocess Parameter} = f(\text{Quantitative & Analytical Aptitude})$
- The calculated scalar falls strictly within the official numerical limits.
**3. Final Answer**:
Official numerical answer is **1.8**.
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