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The Most General Values Of Theta Satisfying Tan Theta Tan 3pi 4 Theta 2 Are

1) 2nπ ± π/3, n ∈ Z 2) nπ ± π/3, n ∈ Z 3) 2nπ ± π/6, n ∈... View Article

1) nπ + (-1)n π/2, n ∈ Z 2) nπ/2, n ∈ Z 3) (4n ± 1)π/2, n ∈ Z... View Article

1) (nπ/2) + (-1)n π/4 2) 2nπ + (-1)n π/4 3) nπ + (-1)n + 1 π/4 4) nπ +... View Article

1) π/2 2) π 3) π/4 4) 3π/4 5) π/3 Answer: (3) π/4 Solution: [sin x + cos x]1 +... View Article

1) x = (nπ/2) ± sin-1(1/5) 2) x = (nπ/2) + (-1)n/4 sin-1(±2√2/3) 3) x = (nπ/2) ± cos-1(1/5) 4)... View Article

1) 1 2) 2 3) infinite 4) no solution Answer: (4) no solution Solution: Given, 2 sin x + cos... View Article

1) 2nπ + π/6, ∀ n ϵ I 2) 2nπ + π/4, ∀ n ϵ I 3) 2nπ + π/3,... View Article

1) 8 2) 6 3) 5 4) 7 Answer: (4) 7 Solution: Given, 1/sin π/n = 1/sin 2π/n + 1/sin... View Article

1) 0 2) 1 3) 2 4) 3 Answer: Solution: tan x + sec x = 2 cos x (sin... View Article

1) four 2) two 3) one 4) 0 Answer: (3) one Solution: Given, x3 + x2 + 4x + 2... View Article

1) 2nπ – 3π/4, n ϵ Z 2) 2nπ + π/4, n ϵ Z 3) nπ + π/4, n ϵ... View Article

1) nπ ± π/4 2) 2 nπ + π/4 3) nπ ± π/8 4) None of these Answer: (3) nπ... View Article

1) 4π 2) π 3) 2π 4) 3π Answer: (3) 2π Solution: cos x cos(π/3 – x) cos(π/3 + x)... View Article

1) log (2 – √3) 2) log (√3 – 2) 3) log (2 + √3) 4) log (2 + √5)... View Article

1) i tanh-1y 2) -i tanh-1(y) 3) i tan-1y 4) -tan-1(y) Answer: (3) i tan-1(y) Solution: Given, tanh-1(x + iy)... View Article

1) 4 2) 3 3) 7 4) 5 Answer: (1) 4 Solution: 4 sin2x + 3 cos2x = sin2x +... View Article

1) √2 2) 2 3) 0 4) -√2 Answer: (1) √2 Solution: The maximum value of a cos x +... View Article

1) y ≤ 2 2) y ≤ 1 3) y ≥ 2 4) 1 < y < 2 Answer: (3)... View Article

1) 2 sin α sin β cos γ 2) 2 cos α cos β cos γ 3) 2 sin α... View Article

1) 0 2) 1 3) 2 4) 3 5) 4 Answer: (2) 1 Solution: Given, A + B + C... View Article