Final answer:
To find the value of s in the interval [0, pi/2] that satisfies the equation sec(s) = 1.2014, take the inverse secant of 1.2014. The result is approximately 0.8943 radians.
Step-by-step explanation:
The given equation is sec(s) = 1.2014. To find the value of s in the interval [0, pi/2], we need to take the inverse secant of 1.2014. The inverse secant, also known as arcsec, is the inverse function of the secant function. It represents the angle whose secant value is equal to a given number. So, we have:
arcsec(1.2014) = s
Using a calculator, we find that arcsec(1.2014) is approximately 0.8943 radians.