Trigonometry (Part-3)Total Questions: 5041. Simplify [SSC CGL 19/09/2024 (3rd Shift)](a) 5/64(b) 2/25(c) 25/64(d) 64/25Correct Answer: (c) 25/64Solution:42. If tan θ + cot θ = 2, and θ is an acute angle, then the value of θ is: [SSC CGL 19/09/2024 (3rd Shift)](a) 30ᵒ(b) 15ᵒ(c) 60ᵒ(d) 45ᵒCorrect Answer: (d) 45ᵒSolution:43. Simplify [SSC CGL 19/09/024 (1st Shift)](a) 2cosecA(b) 2cosA(c) 2secA(d) 2sinACorrect Answer: (a) 2cosecASolution:44. The value of θ, when √3 cosθ + sinθ = 1 (1 ≤ θ ≤ 90ᵒ), is: [SSC CGL 23/09/024 (1st Shift)](a) 20ᵒ(b) 60ᵒ(c) 90ᵒ(d) 30ᵒCorrect Answer: (c) 90ᵒSolution:45. Let x = r cos (t), y = r sin (t) cos (u), z = r sin (t) sin (u). Then the value of x² + y² + z² is _______ . [SSC CGL 23/09/2024 (1st Shift)](a) r² cos (u)(b) r²(c) 2r(d) r² sin (t)Correct Answer: (b) r²Solution:46. Simplify [SSC CGL 23/09/2024 (1st Shift)](a) 1(b) 7/15(c) 4/3(d) 9/16Correct Answer: (d) 9/16Solution:47. Solve it- [SSC CGL 23/09/2024 (2nd Shift)](a)(b)(c)(d)Correct Answer: (c)Solution:48. If cosA + cos²A = 1 then sin²A + sin⁴A is equal to: [SSC CGL 23/09/2024 (2nd Shift)](a)(b)(c)(d)Correct Answer: (d)Solution:49. Simplify [SSC CGL 23/09/2024 (2nd Shift)](a) tanθ(b) cosecθ(c) cotθ(d) secθCorrect Answer: (c) cotθSolution:50. Solve it- [SSC CGL 23/09/2024 (3rd Shift)](a) 1(b) 0(c) 3(d) 2Correct Answer: (b) 0Solution:Submit Quiz« Previous12345