Prove that : Sin A / Sin (90°- A) + Cos A / Cos (90°-A)= Sec (90°-A) Cosec (90°-A)
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Step-by-step explanation:
L.H.S
Sin A/Sin (90°-A) + Cos A/ Cos(90°-A)
=Sin A / Cos A + Cos A/Sin A
=(Sin²A+Cos²A)/Sin A *Cos A
=1/SinA*CosA
=(1/Sin A) * (1/Cos A)
=Cosec A * Sec A
=Sec(90°-A) Cosec (90°-A)=R.H.S
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