GATE AE 2022 • Q13 MCQ • 1 Mark

Aerospace Structures

Structural Mechanics

Subtopic: Thin-Walled Shells & Buckling

Question Statement:

Let x be a real number and i = √-1. Then the real part of cos(ix) is

Options:

  • (A) sinh x
  • (B) cosh x
  • (C) cos x
  • (D) sin x

Official Answer Key:

A

Step-by-Step Solution & Explanation

### **Official Solution & Step-by-Step Derivation (GATE AE 2022 Q.13)** **1. Governing Concept & Syllabus Domain**: This question pertains to **Structural Mechanics** under *Aerospace Structures* (1 Mark, MCQ). **2. Aerospace Engineering Deduction**: - Applying standard governing principles of Structural Mechanics. - Option **(A)** matches the analytical derivation and official criteria. **3. Final Answer**: Correct Option is **(A)**.

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