nothxyana nothxyana

20-05-2018
Mathematics

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

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mkryukova19 mkryukova19

20-05-2018

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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