Trigonometry
Trigonometric ratios, identities and applications to geometry and equations.
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- Previous papers: 10 official question papers from HBCSE-TIFR (Mathematical Olympiad Cell) — 2025, 2024, 2022-23, 2021-22 and 1 earlier year.
- Practice: 10 answer-checked practice questions on Trigonometry for IOQM — practise them.
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Practice this topic
Take a full mock →Q1 · Trigonometry · MEDIUM
If sin θ + cos θ = √2, what is the value of sin³ θ + cos³ θ?
Q2 · Trigonometry · EASY
If sin θ + cos θ = √2, find the value of sin θ cos θ.
Q3 · Trigonometry · HARD
If tan A + tan B + tan C = tan A tan B tan C and A, B, C are acute angles, find the value of A + B + C in degrees.
Q4 · Trigonometry · MEDIUM
If sin θ + cos θ = 7/5, where 0 < θ < π/2, find the value of 100 × sin θ × cos θ.
Q5 · Trigonometry · EASY
In triangle PQR, if angle P = 45°, angle Q = 60°, and PQ = 10, find the integer closest to the length of QR.