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Trigonometry Questions for NDA

Free, AI-curated practice for the Trigonometry section of NDA. We have 35+ verified questions in this bank. Below: 5 sample questions. Sign up free to unlock unlimited practice + AI explanations + per-topic analytics.

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📍 Trigonometry is also tested in:
SSC CGL (83)CDS (42)SSC CHSL (33)

Sample questions

Q1 · medium · PYQ 2024
If f(θ) = 1/(1 + tanθ) and α + β = 5π/4, then what is f(α)f(β)?
  1. –1/2
  2. 1/2
  3. 1
  4. 2
Q2 · medium · AI-verified
The value of (1 + tan 15°)/(1 - tan 15°) is:
  1. √3
  2. 1/√3
  3. 2 + √3
  4. 2 - √3
Q3 · medium · AI-verified
The minimum value of 3 sin²x + 4 cos²x is:
  1. 3
  2. 4
  3. 7/2
  4. 5/2
Q4 · medium · PYQ 2024
What is (√3 cos10° – sin10°)/(sin25° cos25°) equal to?
  1. 1
  2. √3
  3. 2
  4. 4
Q5 · medium · AI-verified
The period of the function f(x) = sin 3x + cos 4x is:
  1. π
  2. π/2
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