Trigonometry (Part-9)Total Questions: 5031. If 5 sin²A + 3cos²A = 4, 0 < A < 90º, then what is the value of tanA ? [SSC CGL 09/12/2022 (1st Shift)](a) 0(b) 3(c) 1(d) 2Correct Answer: (c) 1Solution:32. Simplify [SSC CGL 09/12/2022 (2nd Shift)](a) 5/12(b) 12/13(c) 11/12(d) 5/13Correct Answer: (b) 12/13Solution:33. If sin²θ cos²θ = 2/9, then what will be the value of cosec²θ + sec²θ ? [SSC CGL 09/12/2022 (3rd Shift)](a) 7/2(b) 5/2(c) 5/2(d) 9√2Correct Answer: (c) 5/2Solution:34. Simplify [SSC CGL 09/12/2022 (3rd Shift)](a) -3/2 , -1/2(b) 3/2 , 1/2(c) -3,-1(d) 3, 1Correct Answer: (c) -3,-1Solution:35. In the given figure, ABC is an isosceles triangle with BC = 8cm and AB = AC = 5cm. The value of tanC - cotB is ________ . [SSC CGL 09/12/2022 (4th Shift)](a) -(5/12)(b) -(7/12)(c) 7/12(d) 5/12Correct Answer: (b) -(7/12)Solution:36. If b cosθ = a, then cosecθ + cotθ = _______ [SSC CGL 09/12/2022 (4th Shift)](a)(b)(c)(d)Correct Answer: (c)Solution:37. Simplify [SSC CGL 12/12/2022 (2nd Shift)](a) cosθ(b) sinθ(c) cotθ(d) cosecθCorrect Answer: (a) cosθSolution:38. If sin²θ - 3sinθ + 2 = 0, then find the value of θ (0º ≤ θ ≤ 90º). [SSC CGL 12/12/2022 (2nd Shift)](a) 45º(b) 0º(c) 60º(d) 90ºCorrect Answer: (d) 90ºSolution:39. If tan3θ. tan7θ = 1, where 7θ is an acute angel, then find the value of cot15θ. [SSC CGL 12/12/2022 (3rd Shift)](a) 1(b) -1(c) -√3(d) √3Correct Answer: (b) -1Solution:40. If 2sinθ + 2 sin²θ = 2, then the value of 2 cos⁴θ + 2 cos²θ is: [SSC CGL 12/12/2022 (3rd Shift)](a) 4(b) 2(c) 1(d) 0Correct Answer: (b) 2Solution:Submit Quiz« Previous12345Next »