Answer:
2 1/2
Step-by-step explanation:
1st, convert the fractions
2 2/3 = 2 4/6 = 16/6
5 1/6 = 31/6
31/6-16/6 = 15/6 = 2 3/6 = 2 1/2
Hello :
* secx = 1/cosx
cos²x+sin²x= 1
**sin²x = 1-cos²x
by (*) :
secx-secx sin²x=(1/cosx) -(1/cosx) sin²x
= (1/cosx)(1- sin²x)....factory :(1/cosx)
by(**)
secx-secx sin²x = (1/cosx)cos²x
secx-secx sin²x = cosx ...( simplify by : cosx)