Class XI Maths Trignometric Functions Quiz 7

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Question 1

Trigonometric functions and identities help in solving complex problems easily. With reference to this solve the following function. If tan(πcosA)=cot(πsin A)then find the value of cos(A-π/4)is   

• A1/2
• B1/√2
• C ±1 / 2√2
• Dnone of these

Question 2

Find the range of the function defined by

• A
• B
• C
• D

Question 3

if a ≤ sin^-1 x + cos^-1 x + tan^-1 x ≤ b, then

• Aa = 0, b = π
• B
• Ca =, b = π
• DNone of these

Question 4

In a ΔABC, cos²A + cos²B + cos²C = 1 then triangle ABC will be

• Aequilateral triangle
• Bright angled triangle
• Csides of Δ are in A.P
• Dnone of these

Question 5

A tower subtends an angle α at a point A on the ground, and the angle of depression of its foot from a point B just above A and at a distance b from A is β. The height of the tower is

• Ab tanα cotβ
• Bb tanα tanβ
• Cb cot α cotβ
• Db cotα tanβ

Question 6

The expression (4 cos² 9^o – 3) (4 cos² 27^o –3) will be equal to

• Acot 9^o
• Bsin 9^o
• Ccos 9^o
• Dtan 9^o

Question 7

The maximum and minimum values of cos⁶θ + sin⁶θ are respectively

• A1 and
• Ba and 0
• C2 and 0
• D1 and

Question 8

The minimum value of cos θ + sin θ + for θ (0, ) is

• A2 +
• B2
• C1 +
• D

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