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If Cos X Tan Y Cot Y Tan Z Cot Z Tan X Then Sin X Is

1) (√5 + 1)/4 2) (√5 – 1)/4 3) (√5 + 1)/2 4) (√5 – 1)/2 Answer: (4) (√5 –... View Article

The sum of the series ∑n = 1∞ sin(n!π/720) is 1) sin(π/180) + sin(π/360) + sin(π/540) 2) sin(π/6) + sin(π/30)... View Article

1) {2nπ ± π/3: n ∈ Z} 2) {2nπ ± π/6: n ∈ Z} 3) {2nπ ± π/2: n ∈... View Article

1) ±1 2) 0 3) ±2 4) 4 Answer: (4) 4 Solution: Given, cos θ – 4 sin θ =... View Article

1) 1 2) 2 3) 3 4) 4 Answer: (4) 4 Solution: Given, cos θ + sin 2θ = 0... View Article

1) (nπ/3) – (π/12) 2) nπ + (7π/12) 3) (nπ/3) + (7π/36) 4) nπ + (π/12) Answer: (3) (nπ/3) +... View Article

1) (-π/4, π/4) 2) (π/4, 3π/4) 3) (3π/4, 5π/4) 4) (5π/4, 7π/4) Answer: (4) (5π/4, 7π/4) Solution: Given, cos2θ +... View Article

1) π/3 2) π/4 3) π/2 4) π/6 Answer: (4) π/6 Solution: Given, cot x + cosec x = √3... View Article

1) 0 2) 1 3) 2 4) ∞ Answer: (1) 0 Solution: Given, sin 2x + cos 4x = 2... View Article

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

If 1 + sin θ + sin2θ +… = 4 + 2√3; 0 < θ < π, θ ≠ π/2,... View Article

1) 3 2) 4 3) 5 4) 6 Answer: (3) 5 Solution: Given, sin x cos 3x = sin 3x... View Article

1) 2 2) 3 3) 4 4) None of the above Answer: (1) 2 Solution: Given, |x – 1| =... View Article

1) all values of a 2) a ϵ [2, 6] 3) a ϵ (-∞, 2) 4) a ϵ (0,∞) Answer:... View Article

1) (nπ/2) + (π/8) for n integer 2) (nπ/2) – (π/8) for n integer 3) nπ + (π/6) for n... View Article

The number of solutions of the equation (1 – cos 2x) (cos 2x + cot2x) = 0, 0 ≤ x... View Article

The minimum value of f(x) = sin4x + cos4x , 0 ≤ x ≤ π/2 is 1) 1/2√2 2) 1/4... View Article

If A + B + C = π, then sin 2A + sin 2B + sin 2C is equal to... View Article

The maximum value of 4 sin2x – 12 sinx + 7 is 1) 25 2) 4 3) does not exist... View Article

In ΔABC, if sin2A + sin2B + sin2C = 2, then the triangle is 1) right angle but need not... View Article