Question

If tan θ = 4, then � tan θ

sin3θ

cosθ+sin θ cos θ

� is equal to :

(A) 0 (B) 2√2

(C) √2 (D) 1

64 If A is an acute angle in a right ∆ABC, right angled at B,

then the value of sinA + cosA is :

(A) equal to one (B) greater than one

(C) less than one (D) equal to two

65 As x increases from 0° to 90°, the value of cos x is :

(A) Increases (B) Decreases

(C) remains constant (D) increases, then

66. Value of x from the equation

x sin π

2

cos2 π

4 = cot2π

6

secπ

3

tanπ

4

cos ec2π

4

cosec π

6

is

(A) 4 (B) 6

(C) –2 (D) 0

67. The area of a triangle is 12 sq. com. Two sides 6 cm

and 12 cm. The included angle is θ, then sin θ =

(A) �

1

2

� (B) �

1

4

�

(C) �

1

6

� (D) �

1

3

�

68. If α + β = 90° and α = 2β, then cos2 α + sin2 β equals to:

(A) 1

2

(B) 0

(C) 1 (D) 2

69. Given that sin A = 1

2

and cos B= 1

√2

,where A and B

are acute angles, then the value of A + B is :

(A) 30° (B) 45°

(C) 75° (D) 15°

70. If α + β = 90° and sin α = 1

3

, then sin β is :

(A) √2

3

(B) 2√2

3

(C) 2

3

(D) 3

4

71. The value of the 5...3. tan 10°. Tan 15°... tan 85°. Is

(A) 1 (B) 2

(C) 3 (D) None of these

72. Sin (60° + θ) – cos (30° – θ) is equal to :

(A) 2 cos θ (B) 2 sin θ

(C) 0 (D) 1

73. If (α + β) = 0, then sin (α + β) can be reduced to :

(A) cos β (B) cos 2β

(​

Answer 1

Answer:

then the value of sinA + cosA is :

(A) equal to one (B) greater than one

(C) less than one (D) equal to two

65 As x increases from 0° to 90°, the value of cos x is :

(A) Increases (B) Decreases

Step-by-step explanation:

Abag contains tred 5 black ball and 6 White.