Question

if sin A + cos A =√3.Then prove that tan A+ cotA = 1​

Answer 1

Step-by-step explanation:

sinA+cosA=√3..........(1)

(sinA+cosA)²=3

1+2sinAcosA=3

2sinAcosA=2

sinAcosA=1

so, tanA+cotA

=sin²A+Cos²A/sinAcosA

=1/1

=1