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:

CDS (42)SSC CHSL (33)SSC CGL (33)

Sample questions

Q1 · hard · PYQ 2024

If tanα and tanβ are roots of equation x² – 6x + 8 = 0, then what is cos(2α + 2β)?

13/75
13/85
17/85
19/85

Q2 · medium · PYQ 2026

If cos θ = 1/3, then what is the value of sin(θ/2) sin(3θ/2)?

5/9
7/9
10/9
11/9

Q3 · medium · AI-verified

The amplitude of the function f(x) = 3 sin x - 4 cos x is:

5
7
1
√7

Q4 · medium · PYQ 2024

What is (√3 cos10° – sin10°)/(sin25° cos25°) equal to?

1
√3
2
4

Q5 · medium · PYQ 2026

If α and β are complementary angles such that α - β = π/6 and m tan β = n tan α, then what is ((m+n)/(m-n)) equal to?

2
2/√3
1
1/√3

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Trigonometry Questions for NDA

Sample questions

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