Question

Ramu said that the distance between A(sin90°, Cos90°) and B(sin0°, cos0°) is

rootover 2 units. Do you agree with him ? Justify your answer.​

Answer 1

Answer:

Step-by-step explanation:

Given, Distance between

A ( sin 90°, cos 90° ) and B ( sin 0° , cos 0° ) = √2 units

A ( 1 , 0 ) and B ( 0 , 1 ) (∵ sin90°=1,cos90°=0,sin0°=0,cos0°=1)

Distance formula : √ (x2 - x 1)^2 + (y2 - y1)^2 ∵ Let x1=1,y1=0,x2=0,y2=1 )

⇒ √ ( 0 - 1 )^2 + ( 1 - 0 )^2 = √2

⇒ √ ( - 1 )^2 + ( 1 )^2 = √2

⇒ √ 1 + 1 = √2

⇒ √2 = √2

Hence, I agree with him.

Raku said that the distance between A ( sin 90°, cos 90° ) and B ( sin 0°, cos 0° ) is root over 2 units is true.