CBSE BOARD X, asked by Jitinkumar81633, 1 year ago

Prove that (secA+tanA)(1-sinA) =cosA

Answers

Answered by adi1100
1
LHS =(secA+tanA)(1-sinA)

=(1/cosA+sinA/cosA)(1-sinA)

=(1+sinA/cosA)(1-sinA)

=(1+sinA)(1-sinA)/cosA

=(1-sin2A)/cosA

=cos2A/cosA

=cosA

LHS=RHS

Answered by IshaSinnu
0
(secA+tanA) (1-SinA) = cosA
=(1/cosA + sinA/cosA) (1-sinA)
=(1 + sinA / cosA)(1-sinA)
=(1 + sinA) (1 - sinA) / cosA
=(1- sin²A) / cosA
=cos²A / cosA
=cosA


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