If  then the value of  is

• 2ⁿ

• 

• 

• 2

If cos x = sin y and cot (x - 40°) = tan (50° - y), then the value of x and y are:

• x = 70°,  y = 20°

• x = 75°,  y = 15°

• x = 85°,   y = 5°

• x = 80°,  y = 10°

If   and  are positive then the smallest value of  is

114.

The value of tan 315° cot (-405°) is equal to

• -1

• 1

• 0

• 2

If sin A + sin²A = 1  then what is the value of cos²A + cos⁴A?

• 1

• 2

• 1/2

• 1/4

If  and  then tan θ is equal to:

• 1

• 0

• -1

• 1/4

If 5 tan θ = 4,  then the value of  is

If tan (x + y) tan (x - y) = 1,  then the value of  is

• 

• 

• 

• 1

If sin θ + sin²θ = 1,  then the value of cos¹² θ + 3 cos ¹⁰ θ + 3 cos⁸ θ + cos⁶ θ - 1 is

• 0

• 1

• -1

• 2

If x, y are positive acute angles x + y < 90° and sin (2x - 20°) = cos (2y + 20°), then the values of sec (x + y) is

• 

• 

• 1

• 0