If a sin θ + b cos θ = c, then the value of a cos θ - b sin sin θ is

If cosx + cos²x = 1, then the numerical value of (sin¹²x + 3 sin¹⁰x + 3 sin⁸x + sin⁶x - 1) is

• 0

• 1

• -1

• 2

If  and  where A > B > 0 and A + B is an acute angle, then the value of B is

Maximum value of (2 sin θ + 3 cos θ) is

• 2

• 

• 

• 1

The value of 152 (sin 30° + 2 cos² 45° + 3 sin 30° + 4 cos² 45° +...+17 sin 30° + 18 cos² 45°) is

• an integer but not a perfect square

• a rational number but not an integer

• a perfect square of an integer

• irrational

(1 + sin α) (1 + sin β) (1 + sin γ) = (1 - sin α) (1 - sin β) (1 - sin γ), then each side is equal to

147.

If sin θ + sin ² θ = 1, then cos² θ + cos⁴ θ is equal to

• 1

• 

• 

• None

The maximum value of sin⁴ θ + cos⁴ θ is

• 2

• 1

• 3

• 

The numerical value of 

Find the value of tan 4° tan 43° tan 47° tan 86°.

• 1

• 

• 

• 2