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Fivepointseven · Answer 1 · 2019-07-08T03:24:56+0000

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

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