Trigonometry (Part-2)Total Questions: 501. If 0⁰ < A, B < 45⁰, cos (A+B) = 24/25 and sin (A-B) = 15/17, then tan2A = ? [SSC CGL 06/03/2020 (Evening)](a) 0(b) 1(c) 416/87(d) 213/4Correct Answer: (c) 416/87Solution:2. If cos²θ - sin²θ = tan²θ, then which of the following is true? [SSC CPO 13/12/2019 (Evening)](a) cosθ cosθ = 1(b) cosθ cosθ =√2(c) cos²θ -sin²θ = cot²θ(d) cos²θ - sin²θ = tan²θCorrect Answer: (d) cos²θ - sin²θ = tan²θSolution:3. everything between 0⁰ and 90⁰ For α'ᵢ s, (i = 1, 2, 3......20) it is given that sinα₁ + sinα₂ + sinα₃ .......... sinα₂₀ = 20. Find the value (in degrees) of (α₁ + α₂ + α₃...... α₂₀). [SSC CHSL 11/07/20219 (Morning)](a) 1800⁰(b) 900⁰(c) 0⁰(d) 20⁰Correct Answer: (a) 1800⁰Solution:4. For α and β both being acute angles, it is given that sin (α + β) = 1, cos (α - β) = 1/2. The values of α and β are : [SSC CHSL 10/07/2019 (Evening)](a) 75⁰ , 15⁰(b) 45⁰ ,15⁰(c) 75⁰ , 45⁰(d) 60⁰ , 30⁰Correct Answer: (a) 75⁰ , 15⁰Solution:5. If θ = 9⁰, then what is the value of cotθ. cot2θ. cot3θ. cot4θ. cot5θ. cot6θ. cot7θ. cot8θ. cot9θ ? [SSC CHSL 10/07/2019 (Evening)](a) √3 - 1(b) 1(c) √3(d) 1/√3Correct Answer: (b) 1Solution:6. Which among the following is an irrational quantity ? [SSC CHSL 10/07/2019 (Afternoon)](a) tan30⁰ . tan60⁰(b) sin30⁰(c) tan45⁰(d) cos30⁰Correct Answer: (d) cos30⁰Solution:7. Which among the following increase continuously in the range 0⁰ < θ < 90⁰ ? [SSC CHSL 09/07/2019 (Evening)](a) cotθ(b) cosecθ(c) tanθ(d) cosθCorrect Answer: (c) tanθSolution:8. Simpilfy [SSC CHSL 05/07/2019 (Afternoon)](a) 1/16(b) 1/4(c) 1/2(d) 1/8Correct Answer: (c) 1/2Solution:9. Simplify [SSC CHSL 03/07/2019 (Afternoon)](a) Sinθ(b) Cosecθ(c) Secθ(d) CosθCorrect Answer: (d) CosθSolution:10. Solve it [SSC CHSL 03/07/2019 (Morning)](a) Sinθ Cosθ(b) tanθ(c) Cotθ(d) Cosecθ SecθCorrect Answer: (c) CotθSolution:Submit Quiz12345Next »