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If Theta Sin Inverse Sin 600 Degrees Then One Of The

1) π/3 2) π/2 3) 2π/3 4) -2π/3 Answer: (1) π/3 Solution: Given, θ = sin-1[sin(-600°)] sin θ = sin(-600°)... View Article

1) (π, π/2) 2) (-π/2, π/2) 3) (-π, π) 4) (0, π) Answer: (2) (-π/2, π/2) Solution: The graph of... View Article

1) cosec(sec-1x) 2) cot x 3) π 4) None of these Answer: (1) cosec(sec-1x) Solution: Let cosec-1x = A cosec... View Article

1) 3 2) -3 3) 1/3 4) -1/3 Answer: (1) 3 Solution: Given, tan-1x = sin-1(3/√10)….(i) Let A = sin-1(3/√10)... View Article

1) 5π/3 2) -5π/3 3) -π/3 4) 4π/3 Answer: (3) -π/3 Solution: Let θ = sin-1(sin 5π/3) sin θ =... View Article

1) 0 2) tan-1x 3) π/4 4) π/2 Answer: (3) π/4 Solution: Let cosec-1(√41/4) = A cosec A = √41/4... View Article

1) cos-1√(1 – x2) 2) -cos-1√(1 – x2) 3) cos-1√(x2 – 1) 4) π – cos-1√(1 – x2) Answer: (2)... View Article

1) 0, π 2) 0, π/4 3) -π/4, π/4 4) π/4, π/2 Answer: (2) 0, π/4 Solution: Let x =... View Article

1) 10 2) 10 – 3π 3) 3π – 10 4) None of these Answer: (3) 3π – 10 Solution:... View Article

1) 25/24 2) 25/7 3) 24/25 4) None of these Answer: (4) None of these Solution: Let cos-1(7/25) = A... View Article

1) 3/17 2) 4/17 3) 5/17 4) 6/17 Answer: (4) 6/17 Solution: cot[cosec-1(5/3) + tan-1(2/3)]….(i) Let cosec-1(5/3) = A cosec... View Article

1) (-π, π) 2) [-1, 1] 3) (0, 2π) 4) (-∞, ∞) Answer: (2) [-1, 1] Solution: The graph of... View Article

1) [√(1 – x2)]/x 2) x/(1 + x2) 3) [√(1 + x2)]/x 4) √(1 + x2) Answer: (1) [√(1 –... View Article

1) 0 2) (√5 – 4√2)/9 3) (√5 + 4√2)/9 4) π/2 Answer: (3) (√5 + 4√2)/9 Solution: Given, sin-1(1/3)... View Article

1) sin2θ + sin2β 2) sin2θ + cos2β 3) cos2θ + cos2β 4) cos2θ + sin2β Answer: (2) sin2θ +... View Article

1) 1 2) 0 3) 4/5 4) 1/5 Answer: (4) 1/5 Solution: Given, sin[sin-1(1/5) + cos-1(x)] = 1 sin-1(1/5) +... View Article

1) 1 2) 2 3) -1 4) -2 Answer: (1) 1 Solution: Given, A, B, C are the angles of... View Article

1) A ≥ 1 2) 0 < A ≤ 1 3) 1 < 2A ≤ 3 4) None of these... View Article

1) 2 tan α 2) 1 3) 2 4) sec2α Answer: (1) 2 tan α Solution: Given that α ∈... View Article

1) 0 2) 1 3) 3 4) sin 4α + sin 6α Answer: (2) 1 Solution: 3[sin4(3π/2 – α) +... View Article