Final answer:
The degree of sec(2√3/3 is 30°.
Step-by-step explanation:
The degree of sec(2√3/3) can be found by using the unit circle. The unit circle is a circle with a radius of 1 and its center at the origin of a coordinate plane. To find the degree, we need to look for the angle on the unit circle that has the same value of sec(2√3/3). The secant function is the reciprocal of cosine, so we need to find the angle whose cosine is equal to 1/sec(2√3/3). The cosine function is positive in the first and fourth quadrants, so we need to find the angle in those quadrants that has a cosine value of 1/sec(2√3/3). By using a calculator or reference table, we can find that cos(30°) is equal to 1/sec(2√3/3). Therefore, the degree of sec(2√3/3) is 30°. Therefore, the degree of sec(2√3/3) is 30°, so the correct answer is a) 30°.