Question

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

Answer 1

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