Trigonometry Questions for CDS

Free, AI-curated practice for the Trigonometry section of CDS. We have 42+ verified questions in this bank. Below: 5 sample questions. Sign up free to unlock unlimited practice + AI explanations + per-topic analytics.

▶ Start free — CDS mock All CDS resources Already a user? Sign in →

📍 Trigonometry is also tested in:

NDA (35)SSC CHSL (33)SSC CGL (33)

Sample questions

Q1 · easy · PYQ 2025

If sin α + cos α = √2, where 0 < α < π/2, then what is sin³α − cos³α equal to?

Q2 · medium · PYQ 2025

If 2 sin⁴α + 2 cos⁴α − 1 = 0, where 0 ≤ α < π/2, then what is sin 2α + cos 2α equal to?

0
1
(√3 + 1)/2
(√3 − 1)/2

Q3 · medium · PYQ 2026

If 3sinθ + 4cosθ = 5, then what is the value of 4tanθ + 3cotθ?

Q4 · medium · AI-verified

The value of sin(90° - θ) × sec θ is:

1
sin θ
cos θ
tan θ

Q5 · medium · PYQ 2023

If tan x = (sin θ + cos θ)/(sin θ − cos θ), π/4 < θ < π/2, then what is √2 sin x equal to?

sin θ + cos θ
(sin θ + cos θ)/2
sin θ − cos θ
(sin θ − cos θ)/2

💡 Want answers + explanations + 37+ more Trigonometry questions? Sign up free →

⭐ Recommended for CDS aspirants

Pro Plus (with SSB Interviewer + Essay Coach)

NDA · CDS · AFCAT · Agniveer · full SSB AI included

₹3,999₹11/day

Trigonometry Questions for CDS

Sample questions

Pro Plus (with SSB Interviewer + Essay Coach)

More CDS topics

Free practice, AI explanations, 24 exams — all in one app