### Math 11 Chapter 14Solution of Trigonometric EquationsTest - 1 1.    If Sin x -= Cos x, then the general solution is a) n π, where n ε Z b) π / 4 c) π / 4 + 2n π, where n ε Z d) 2n π, where n ε Z 2. Solution of the equation Sin x = √ 3   / 2, x ε(0, π) are a) π / 6, π / 3 b) π / 3, 2π / 3 c) None of these d) π / 3, 5 π / 3 3.    General solution of the equation 1 + Cos x = 0 is a) { π/2 + 2nπ} b) {- π/2 + 2nπ} c) {π + 2nπ} d) None of these 4.    Solution of the equation 1 + Cos x = 0 is a) None of these b) 2 π c) π/2 d) π 5.    Cos x = ½ has solution: a) π/3 b) π/4 c) π/2 d) π/6 6.    The solution set of tan 2x = 1 in (0, π) is: a) { π/4, 5π/4} b) {π/8, 5π/8} c) { π/4, 3π/4} d) None of these 7.    The solution set of sec x = - 2 in (0, π) is: a) 2π/3, 4π3 b) None of these c) π/3, 2π/3 d) π/3, 4π/3 8.    The solution set of sin x = 0 is : a) n π, n ε Z b) 2nπ, n ε Z c) None of these d) 2nπ, n ε Q 9.    The solution of tan2 x = 3, which lie in (o, π) is a) None of these b) π/3, 4π/3 c) 4π/3, 5π/3 d) π/3, 2π/3 10. If tan (x/2) = √ 3   , and x lies in (0, 2π), then x is equal to a) None of these b) π/6 and 5π/6 c) 0 and x d) π/3 and 5π/3
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