Which angle between 0° and 360° has the same cosine as the angle 55°?

Enter your answer as an integer

The answer to your question is: 305°

Step-by-step 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