Question

find the distance between 0,0 sin 30,cos 30​

Answer 1

Given :  Point   (0 , 0)  and (sin 30° , Cos 30°)

To Find :  Distance between points

Solution:

Point   (0 , 0)  and (sin 30° , Cos 30°)

Distance between points

= √( (Sin 30° - 0)²  + (cos 30°  - 0)² )

= √( (Sin 30°)²  + (cos 30°)² )

= √(  Sin ²30°   +  cos ²30° )

sin²x + cos²x = 1

= √1

= 1

Distance between points  (0 , 0)  and (sin 30° , Cos 30°)  is 1

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Answer 2

Given :- find the distance between (0,0) and (sin 30°,cos 30°) .

Answer :-

we know that, using distance formula, distance between two coordinates (x1,y1) and (x2,y2) is given by,

• √{(x2 - x1)² + (y2 - y1)²} .

so, putting given values we get,

→ D = √{(sin30° - 0)² + (cos30° - 0)²}

→ D = √(sin 30°)² + (cos 30°)²

→ D = √{(1/2)² + (√3/2)²

→ D = √(1/4 + 3/4)

→ D = √(4/4)

→ D = 1 unit (Ans.)

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