Question

if sinA + cosA =√3 prove that tanA + cotA=1​

Answer 1

Answer:

Here is your answer MATE

sinA+cosA=√3

Squaring on both side we get,

(sinA+cosA)²=(√3)²

sin²A+cos²A+2sinAcosA =3

1+2sinAcosA =3

2sinAcosA=3-1

sinAcosA=2/2

sinAcosA=1 ------------(!)

tanA+cotA=1

sinA/cosA+cosA/sinA =1

sin²A+cos²A/sinAcosA=1

1/sinAcosA=1

sinAcosA=1 --------------(!!)

!=!!

thus tanA+cotA=1

I hope it will help you.....