If sinA + cosA = √3, then prove that, tanA + cotA =1

1.	If sinA + cosA = √3, then prove that, tanA + cotA =1
Answer» Given:- sin a +.cos a= 1 So squaring both side(Sin+ cos)2= (√3)2 SIN2 + COS2+ 2 SIN.COS= 31+2 SIN.COS=32 SIN.COS=3-12 SIN.COS= 2SIN.COS= 1NOW,TAN+ COT= 1SIN/COS+ COS/ Sin= 1Sin2 + cos2/ sin.cos=11/1=11=1ProvedHere (sin2 )represents sin square

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