Trigonometric Identities Questions for CDS

Free, AI-curated practice for the Trigonometric Identities section of CDS. We have 16+ 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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Sample questions

Q1 · medium · PYQ 2026

Let 12(tanθ + cotθ) = 25, where 45° < θ < 90°. What is the value of (sinθ − cosθ)?

−1/5
−2/5
1/5
2/5

Q2 · medium · PYQ 2025

If p = 1/(cosec θ + cot θ) and q = cosec θ, then what is p² − 2pq equal to?

−1
0
1
2

Q3 · medium · PYQ 2026

Let 12(tanθ + cotθ) = 25, where 45° < θ < 90°. What is a value of (cosecθ + secθ)?

4
35/12
25/12
2

Q4 · hard · PYQ 2026

cosecθ − sinθ = p³ and secθ − cosθ = q³. What is p⁴q² + p²q⁴ equal to?

−2
−1
0
1

Q5 · medium · PYQ 2024

If (sin θ - cos θ + 1)/(sin θ + cos θ - 1) = p sec θ + q tan θ, where 0 < θ < π/2, then what is p + q equal to?

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Trigonometric Identities Questions for CDS

Sample questions

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