What is the numerical solution of sec^2 (-pi/4) ?

Sec² (-π/4)

sec x = 1 / cos x

cos (-π/4) = cos (π/4) as even function

cos (π/4) = (√2) / 2

sec (-π/4) = 1 / (cos (-π/4)) = 1/cos (π/4) = 2 / (√2)

sec² (-π/4) = (2 / (√2)) ² = 4/2=2

sec² (-π/4) = 2