Tiêu đề TRIGONOMETRY - 2.pdf ✅

c) 1 4 d) 3 2 21. The range of sin2 x − 3sin x + 2 is a) [0,6] b) [0,2] c) [−1,1] d) [0,1] JEE MAIN LEVEL - 4 22. The extreme values of f(x) = √4 − √1 + tan2 x are a) 0, √3 b) 1, √3 c) 1,0 d) −1,1 23. The period of sec (x + 4x + 9x + ⋯ . n 2x) is a) 2π n(n+a) b) 4π n2(n+a) 2 c) 6π n(n+a)(2n+a) d) 12π n(n+a)(2n+a) 24. The maximum and minimum values of 6sin x ⋅ cos x + 4cos 2x are a) −5,5 b) 0,10 c) 0,4 d) −1,1 JEE MAIN LEVEL - 5 25. If u = √a 2cos2 θ + b 2sin2 θ + √a 2sin2 θ + b 2cos2 θ, then their differ- ence between the maximum and minimum values of u is given by a) 2(a 2 + b 2 ) b) (a − b) 2 c) (a + b) 2 d) 2√a 2 + b 2 26. The minimum value of 2cos θ + 1 sin θ + √2tan θ in (0, π 2 ) is a) 2 + √2 b) 3√2 c) 2√3 d) 3 + √2 JEE ADVANCED LEVEL - 1 MULTIPLE CORRECT CHOICE TYPE 27. which of the following are/is not an periodic function a) f(x) = cos x + |sin x| b) g(x) = sec x + cos √x c) h(x) = cot2 x + tan2 x d) √sin x + sin √x COMPREHENSION TYPE If acos θ + bsin θ + c, then max and min values are c + √a 2 + b 2 and c − √a 2 + b 2 respectively. 28. The max&min values of 7cos θ + 24sin θ = a) 25 and -25 b) 24 and -24 c) 5 and -5 d) 108 − 10 29. The value of 5cos θ + 3cos (θ + π 3 ) + 3 lies between a) -4810 b) 4&10 c) −48 − 1 d) 48 − 10 30. If a ≤ 3cos θ + 5sin (θ + π 6 ) ≤ b, then a and bare a) −√19, √19 b) −7,0 c) 0,7 d) −7,7 MATRIX MATCH TYPE: Column-I Column-II a) The value of x for the max of √3cos x + sin x is p) ≥ 2 b) The least value of sin x ⋅ cos x q) √a 2 + b 2 c) The extreme values of asin θ − bcos θ r) − 1 2 d) The value tan2 θ + cot2 θ is s) −√a 2 + b 2 t) π 6 JEE ADVANCED LEVEL-2&3 MULTIPLE CORRECT CHOICE TYPE :