Q19 of 51 Page 54

If , and α and β lies between 0 and . Show that: .

formula : - (i) cos2 A + sin2 A = 1


(ii)


We know that α, β lies between 0 and



Cos(α–β) and sin(α + β) are positive




And



and



and


tan2α = tan[(α + β) + (α – β)]





Hence, Proved.


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