(secA-tanA)^2=1-sinA/1+sinA
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Step-by-step explanation:
(secA-tanA)^2=1-sin/1+sin
(secA-tanA)^2=1-sin/1+sin*1-sin/1+sin rationalise it
(secA-tanA)^2=1+sin^2-2sin/1-sin^2
(secA-tanA)^2=1+sin^2-2sin/cos^2
(secA-tanA)^2=1/cos^2 +sin^2/cos^2-2sin/cos^2
(secA-tanA)^2=sec^2+tan^2-2sesctanA
(secA-tanA)^2=(secA-tanA)^2
LHS=RHS
PROVED
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