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=sinA+cosA/sinA(sin^2A+cos^2=1)=(sin^2=1-cos^2) =sinA=1-cosA

hence proved

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1+cos A
 sin A
on multiply both numinator and denominator by sinA
(1+cosA)  × sinA
 sinA            sin A
(1+cosA) sin A      ⇒ (1+cosA)sinA            as use sin²A+cos²A=1
   Sin²A                      (1-cos²A)
(1+cosA) sinA              as use a²-b²=(a+b)(a-b)
sinA         = RHS
Hence Proved

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