Answer:
Option A and E are true.
Step-by-step explanation:
If
is the equation then the equation can be further solved as
![2[(sec^{2}x-1)]-secx=1](https://tex.z-dn.net/?f=2%5B%28sec%5E%7B2%7Dx-1%29%5D-secx%3D1)

Now we further check the equation whether true for the given options.
For sec = -1
2(-1)²-(-1) = 3
So true for this value.
For secx = 3
2(3)²-3 = 18-3 = 15
So for secx = 3 equation is not true
For sec x = 3/2
2(3/2)²-3/2 = 2×(9/4)-3/2 =(9/2)-3/2 = 3
So true for the given value
For tax = 3
Further the equation can be written as

2(3)²-√(1+3²)=18-√10
So for tanx = 3 equation is not true
For tanx = -1

2(-1)²-√1+(-1)² = 2-√2
So for tax = -1 is not true.
Therefore option A and E are true.