Math, asked by wungpemsarou999, 15 days ago

Prove 2 Cos/ 1- Sin A= 2 Sec A

Answers

Answered by parthwankhede007

0

Answer:

1+sinAcosA+cosA1+sinA=2secA

LHS 1+sinAcosA+cosA1+sinA

=cosA(1+sinA)cos2A+(1+sinA)2

=cosA(1+sinA)cos2A+1+sin2A+2sinA

=cosA(1+sinA)cos2A+sin2A+1+2sinA

=cosA(1+sinA)1+1+2sinA

=cosA(1+sinA)2+2sinA

=cosA(1+sinA)2(1+sinA)

=2secA

R.H.S.

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