ctg(15°) = 1/tan(15°) = 1/(sin(15°)/cos(15°)) = cos(15°)/sin(15°)
sin(30°) = 1/2
ctg(15°) + 2sin(30°) = cos(15°)/sin(15°) + 2(1/2)= cos(15°)/sin(15°) + 1= (2cos(15°) + sin(15°))/sin(15°)
The exact value of cos(15°) and sin(15°) can be determined using trigonometric identities, but the expression cannot be simplified further without knowing the exact values.
ctg(15°) = 1/tan(15°) = 1/(sin(15°)/cos(15°)) = cos(15°)/sin(15°)
sin(30°) = 1/2
ctg(15°) + 2sin(30°) = cos(15°)/sin(15°) + 2(1/2)
= cos(15°)/sin(15°) + 1
= (2cos(15°) + sin(15°))/sin(15°)
The exact value of cos(15°) and sin(15°) can be determined using trigonometric identities, but the expression cannot be simplified further without knowing the exact values.