Question

If sin+cos=√2 then find tan+cot...…?

Answer 1

Answer:

2

Step-by-step explanation:

The maxm value of sin+ cos =2^1/2

At angle 45°

Tan45°+cot45°= 1+1 =2

Answer 2

Answer:

Step-by-step explanation:

Squaring on both sides

(Sin+cos)^2=√2^2

Sin^2+cos^2+2sin.cos=2

1+2sin.cos=2

2sin.cos=1

Sin.cos=1/2

Now put the value of tan and cot

Sin/cos+cos/sin

Sin^2+cos^2/sin.cos

1/sin.cos

Put value of sin.cos we get

1/(1/2)

2 is the answer

Hope you will get!!

Mark it as brainlist pls