Trigonometry (Part-4)Total Questions: 501. For what value of t is the value of sin² (t), half of the value of tan(t) ? [SSC CGL 23/09/02024 (3rd Shift)](a) 60°(b) 45°(c) 30°(d) 22.5°Correct Answer: (b) 45°Solution:2. If tanA = 1/√10, A is an acute angle, then the value of sinA + cosecA is : [SSC CGL 23/09/2024 (3rd Shift)](a) 11√10(b) 1√10(c) 12√11(d) 10√11Correct Answer: (c) 12√11Solution:3. If Sec θ = √2, then cosecθ is equal to: [SSC CGL 24/09/2024 (1st Shift)](a) 0(b) √2(c) -1(d) 1Correct Answer: (b) √2Solution:4. If 2 sin²θ + 3 sinθ - 2 = 0, (0 ≤ θ ≤ 90°), then the value of θ is: [SSC CGL 24/09/2024 (1st Shift)](a) 15°(b) 30°(c) 60°(d) 45°Correct Answer: (b) 30°Solution:5. If sin 3A = cos(A-26°), then A = _______, where 3A is an acute angle. [SSC CGL 24/09/2024 (1st Shift)](a) 29°(b) 52°(c) 26°(d) 78°Correct Answer: (a) 29°Solution:6. The value of (sinA + cosecA)² + (cosA + secA)² is: [SSC CGL 24/09/2024 (2nd Shift)](a) 3 + tan²A + cot²A(b) 7 + tan²A + cot²A(c) 5 + tan²A + cot²A(d) 1 + tan²A + cot²ACorrect Answer: (b) 7 + tan²A + cot²ASolution:7. If 3 tan A = 4 and A is an acute angle, then the value of 4 sinA + 3cosA is: [SSC CGL 24/09/2024 (2nd Shift)](a) 1(b) 3(c) 4(d) 5Correct Answer: (d) 5Solution:8. If 10 sin²θ + 6 cos² θ = 7, 0 < θ < 90ᵒ then find the value of tan θ. [SSC CGL 24/09/2024 (3rd Shift)](a) √3(b) 1(c) 1/√3(d) 1/2Correct Answer: (c) 1/√3Solution:9. Solve it- [SSC CGL 24/09/2024 (3rd Shift)](a) 11/7(b) 21/32(c) 32/21(d) 7/11Correct Answer: (c) 32/21Solution:10. Evaluate [SSC CGL 25/09/2024 (1st Shift)](a) -1(b) 1(c) 0(d) 2Correct Answer: (b) 1Solution:Submit Quiz12345Next »