Homework SourseIf secx2 and 3pi2 is less than 0 which is less than 2pi use
If sec(x)=2 and 3pi/2 is less than 0 which is less than 2pi, use identities to find the value of tan(x)
If sec(x)=2 and 3pi/2 is less than 0 which is less than 2pi, use identities to find the value of tan(x)
Solution
sec x = 2
x lies between 3pi/2 to 2pi that is in 3rd quadrant
sec x = hypotenuse / base
hypotenuse = 2 , base = 1
perpendicular = sqrt ( 2^2 - 1^2 ) = sqrt 3
tan x = perpendicular / base = sqrt 3 / 1 = sqrt 3
