Question

if tanA+cotA=2,find sinA
,​

Answer 1

Answer:

tan A+cot A=2

=> tanA+1/tanA=2

=> (tan^2A+1)/tanA=2

=> tan^2A+1=2tanA

=> tan^2A-2tanA+1=0

=> (tanA-1)^2=0

=> tanA-1=0

=> tanA=1=tan45°

=> A=45°

so, sinA=sin 45°=1/√2