Question

Find the distance between (0,0) (sin30,cos30)
​

Answer 1

since,

$\sin(30) = \frac{1}{2} \\ \cos(30) = \frac{ \sqrt{3} }{2}$

therefore, we have to find the Distance between (0,0) and (1/2,√3/2)

using distance formula,

$= \sqrt{ {(0 - \frac{1}{2}) }^{2} + {(0 - \frac{ \sqrt{3} }{2}) }^{2} } \\ = \sqrt{ {( \frac{ - 1}{2})}^{2} + {( \frac{ - \sqrt{3} }{2}) }^{2} } \\ = \sqrt{ \frac{1}{4} + \frac{3}{4} } \\ = \sqrt{ \frac{4}{4} } = \sqrt{1} = 1$

Hence, distance between (0,0) and (sin30,cos30)

is 1 unit

Answer 2

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

Learn More:

the distance between the points:(3,-2) and (15,3) - Brainly.in

brainly.in/question/12432245

Find value of P , if the distance between the points are ( 4 , p ) and ...

brainly.in/question/7650873