(SinA×TanA)/1-CosA=1+Sec A
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Step-by-step explanation:
LHS=sinAtanA/1-cosA
=sinA(sinA/cosA)/1-cosA
=sin²A/cosA(1-cosA)
=(1-cos²A)/cosA(1-cosA). [sin²A=1-cos²A]
=(1-cosA)(1+cosA)/cosA(1-cosA). [a²-b²={a+b)(a-b)]
[(1-cosA) cancels]
=1+cosA/cosA
=1/cosA+cosA/cosA
=secA+1.
=RHS
:LHS=RHS.
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