Question

If tanA+cotA=2 .Then prove tan*9999A +Cot*2000A=2

Answer 1

tanA +cotA=2 => SinA/CosA + Cos A/SinA =2=>
SinA^2+CosA^2/SinA CosA =2=> SinACosA=1/2=>
2SinAcosA =1(2sinAcosA=sin2A)=> Sin2A=1=> Sin2A=Sin90°=> A=45°. then tanA=cotA=1 So tan*9999A+Cot*2000A=1+1=2 .Hence proved Hope it helps you...Please mark me as Brainliest.