Test on Trigonometric Equation-4

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Question 1

Find the general solution for x when sin 3x + cos 2x = – 2

• A(4p – 3) , p ∈ I
• B(4p – 2), p ∈ I
• C(4p + 1) , p ∈ I
• DNone of these

Question 2

Number of solutions of the equation in the interval [–π, π] is

• A4
• B2
• C6
• D0

Question 3

Set of values of x lying in [0, 2π] satisfying the inequality | sin x | > 2 sin² x contains

• A
• B
• Cπ/6
• DNone of these

Question 4

The equation sin⁶ x + cos⁶ x = λ, has a solution if -

• Aλ ∈
• Bλ ∈
• Cλ ∈ [–1, 1]
• Dλ ∈

Question 5

The equation , where |c| < 3, has

• Ano solution
• Bone solution
• Ctwo Solutions
• Dinfinite Solutions

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