Question

sinA+cosA=root 3
then proove
tanA+cotA=1​

Answer 1

Answer:

Given:

SinA+cosA=√3

To prove:

TanA+cotA=1

Solution:

sinA+cosA=√3

Squaring on both sides,

sin²A+cos²A+2sinA.cosA=3

As we know that,

Sin²x+cos²x=1

1+2sinA.cosA=3

2sinA.cosA=2

SinA.cosA=1

Now,

→tanA+cotA

→sinA/cosA+CosA/sinA

→sin²A+cos²A/sinA.cosA

→1/sinA.cosA

→1/1=1

So, TanA+cotA=1

Step-by-step explanation:

Hope it helps you.....