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Prove that: sec(45^(@)+A)sec(45^(@)-A)...

Prove that:
`sec(45^(@)+A)sec(45^(@)-A)=2secA`

Text Solution

Verified by Experts

LHS= `sec(45^(@)+A).sec(45^(@)-A)`
`=2/((cos45^(@)+A)+(45^(@)-A))=2/(0+cos2A)=2/(cos2A)=2sec2A`=RHS Hence Proved.
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