Answer:
The answer to your question is: 305°
Explanation:
Data
angle between 0° and 360°
cosine 55°
Process
Remember the sign of cosine in the 4 quadrangles
Sign
1st quadrangle +
2nd quadrangle -
3rd -
4th quadrangle +
55° is in the 1st quadrangle, then we need to look for an angle in the 4th quadrangle.
In the 4th quadrangle the angle will be 360 - Ф.
Finally 360° - 55° = 305°
cosine 55° = 0.57
cosine 305° = 0.57