sec(45+A)sec(45-A)=2sec2A
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Step-by-step explanation:
Taking L.H.S
Sec(45+a)sec(45-a)
=> 1/cos(45 + a)*cos(45 -a)
=> 1/(cos45cosa – sin45sina) (cos45cosa+sin45sina)
=> 2/(cosa -sina) (cosa + sina)
=> 2/(cos^2a -sin^2a)
=> 2/cos2a
=> 2sec2a
L..H.S = R.H.S
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