tan(45°-A)=cosA-sinA/cosA+sinA
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Step-by-step explanation:
Take LHS
Tan(45°-A)
= (Tan45° - TanA) / (1-Tan45°.TanA)
= 1-TanA / 1+TanA
= 1-SinA/CosA ÷ 1+SinA/CosA
= (CosA-SinA) / (CosA+SinA) = RHS
*Using Tan(A-B) = (TanA - TanB) ÷ (1+TanA.TanB)
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