Class XI Maths Trigonometric Functions Quiz 4

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Question 1

If sin A + sin B = 1/3 and cos A + cos B = ½ then what is the value of tan(?

• A2/3
• B1
• C1/2
• D3/2

Question 2

The solution for inequation 4 sin²x - 8 sin x +3 ≤ 0 in 0≤x≤2π is

• A[π/6,5π/6]
• B[π/3,2π/3]
• C[π/3,5π/6]
• D[π/6,2π/3]

Question 3

The values of x for which 1/6 sin x , cos x, tan x are in GP is

• Ax= 2n/3
• Bx= n/3
• Cx= 2n/6
• Dx=n/6

Question 4

If A + C = B, then tan A tan B tan C =

• Atan A tan B + tan C
• Btan B – tan C – tan A
• Ctan A + tan C – tan B
• D– (tan A tan B + tan C)

Question 5

If  then the value of k is

• A
• B
• C
• D

Question 6

The equation sin⁴ x + cos⁴ x + sin 2x + α= 0 is solvable for -

• A– ≤ α ≤
• B– 3 ≤ α ≤ 1
• C– ≤ α ≤
• D– 1≤ α ≤ 1

Question 7

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 8

2 sin sin =

• A–
• B
• C
• D

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