prove that sec ( 1- sin a )( sec a + tan a) is equal to 1
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Answer:
Sec(1 - sinA) ( 1/cosA + SinA/CosA)
1/cos(1 - SinA) ( 1+ SinA) /CosA
1/cos(1 - Sin^2A /CosA)
1/cos(Cos^2/CosA)
=> 1/cos × Cos
=> 1
LHS = RHS = 1
Hence proved.
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