Question

Prove that sec(π/4+x)sec(π/4-x)=2sec2x​



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Answer 1

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Answer 2

Answer:

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Step-by-step explanation:

sec(π4+θ)sec(π4−θ)=2sec2θ

Left hand side

sec(π4+θ)sec(π4−θ)

=22cos(π4+θ)cos(π4−θ)

=2cos(π4+θ+π4−θ)+cos(π4+θ−π4+θ)

=2cos(π2)+cos2θ

=2cos2θ

=2sec2θ

=Right hand side