Test on General Solution of Trigonometric Equations-3

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Question 1

Find the general solution of θ when tan² θ – (1 + ) tan θ + = 0

• Anπ + π/3 & nπ + π/4, n ∈ I
• Bnπ + π/2 & nπ + π/4, n ∈ I
• C(2n + 1) & nπ + π/6, n ∈ I
• DNone of these

Question 2

The general solution of 4 sin x . sin 2x. sin 4x = sin 3x

• A2nπ, ± , n ∈ I
• Bnπ, ± , n ∈ I
• Cnπ, ± , n ∈ I
• DNone of these

Question 3

The value of sin  is

• A
• B1
• C
• Dnone of these

Question 4

• A1
• B–1
• C
• D

Question 5

If cosθ = and tanθ = –1, then the most general value of θ which satisfies both the equations is

• Aθ = 2nπ + , n ∈ I
• Bθ = 2nπ + , n ∈ I
• Cθ = nπ + , n ∈ I
• DNone of these

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