Maths · Chapter 29
Trigonometry PYQs
Six ratios, three identities and one table. Learn them properly and Trigonometry becomes one of the most scoring chapters of Advance Maths.
Degree and radian: converting angle measures 4 PYQs
- Find the number of degrees in 5π/3 radians.SSC Selection Post 2026 · 21 Sep 2026
- Convert −390° into radians.SSC Selection Post 2026 · 23 Sep 2026
- A pendulum swings through an angle of 5 radians. What is this angle in degrees? (Use π = 22/7)Other exams 2026 · 20 Jan 2026
- If x° 48′ is equal to 719π/900 radians, then find the value of x.SSC Selection Post 2026 · 25 Sep 2026
One ratio given: find the others (and ratios from a triangle) 2 PYQs
- If tan θ = 3/4, what is sin θ + cos θ/sin θ − cos θ?SSC Selection Post 2026 · 17 Sep 2026
- Let ABC be a right-angled triangle such that ∠B = 90°, AB = 12 cm and AC = 13 cm. Find the value of tan A - cot C.RRB NTPC 2026 · 19 Mar 2026
Standard angles: evaluating expressions and finding θ 3 PYQs
- If sin A = 1/2, then the value of cot A isSSC Selection Post 2026 · 21 Sep 2026
- Evaluate 2cot²45° + 3sec²30° − 4sin²30°.RRB Group D 2026 · 05 Feb 2026
- Let ABC be a right-angled triangle such that ∠B = 90°. If tan A = 1, then find the value of cosec A sec A.RRB NTPC 2026 · 18 Mar 2026
The three identities: simplifying to one ratio 5 PYQs
- If sin²θ = 9/25 and cos θ is positive, then the value of sin²θ + cos²θ is:SSC Selection Post 2026 · 19 Sep 2026
- Simplify 1 − sin²θ/cos²θ, where cos θ ≠ 0.SSC Selection Post 2026 · 23 Sep 2026
- Find the value of 5sec²θ − 5tan²θ.RRB Group D 2026 · 09 Jan 2026
- Simplify: (cosec A − cot A)² + (cosec A + cot A)² − 4 cot²A.SSC Selection Post 2026 · 19 Sep 2026
- Which of the expressions given below has the same value as cos²θ + sin²θ?RRB NTPC 2026 · 18 Jun 2026
Longer identity expressions: fractions, powers and value-putting 7 PYQs
- Simplify: cosec A/cosec A − 1 + cosec A/cosec A + 1.SSC Selection Post 2026 · 23 Sep 2026
- Simplify the expression: cos³θ + sin³θ/cos θ + sin θ + cos³θ − sin³θ/cos θ − sin θ.SSC Selection Post 2026 · 24 Sep 2026
- Simplify: (sin A + cosec A)² + (cos A + sec A)² − (tan²A + cot²A).SSC Selection Post 2026 · 17 Sep 2026
- Simplify the expression: (sin θ + cosec θ)² + (cos θ + sec θ)² − (tan θ + cot θ)².SSC Selection Post 2026 · 17 Sep 2026
- If sec²A + cosec²A = 13 and A is an acute angle, then find the value of tan²A + cot²A.RRB Group D 2026 · 10 Feb 2026
- Simplify the expression: tan θ − sec θ + 1/tan θ + sec θ − 1.SSC Selection Post 2026 · 22 Sep 2026
- Evaluate the value of the expression: 3(sin θ − cos θ)⁴ + 6(sin θ + cos θ)² + 4(sin⁶θ + cos⁶θ).SSC Selection Post 2026 · 19 Sep 2026