Question

find the distance p{costheta, sintheta) q(sintheta,-costheta

Answer 1

Given: The points p (cos Ф, sin Ф) q ( sin Ф, -cos Ф )

To find: The distance between the two points?

Solution:

• Now we have given the points:

                   p (cos Ф, sin Ф) and q ( sin Ф, -cos Ф )

• We know the distance formula:

                   D = √(x2 - x1)² + (y2 - y1)²

• Putting the points , we get:

                   D = √(sin Ф - cos Ф)² + (-cos Ф - sin Ф)²

                   D = √(sin² Ф + cos² Ф - 2sin Ф cos Ф + cos² Ф + sin² Ф + 2cos Фsin Ф)

                   D = √1 + 1

                   D = √2

Answer:

                   So the distance is √2 units.

Answer 2

Answer:

Given: The points p (cos Ф, sin Ф) q ( sin Ф, -cos Ф )

To find: The distance between the two points?

Solution:

Now we have given the points:

                   p (cos Ф, sin Ф) and q ( sin Ф, -cos Ф )

We know the distance formula:

                   D = √(x2 - x1)² + (y2 - y1)²

Putting the points , we get:

                   D = √(sin Ф - cos Ф)² + (-cos Ф - sin Ф)²

                   D = √(sin² Ф + cos² Ф - 2sin Ф cos Ф + cos² Ф + sin² Ф + 2cos Фsin Ф)

                   D = √1 + 1

                   D = √2

Answer:

                   So the distance is √2 units.

꧁༒BRAINLYVIRAT187006༒꧂

brainlyvirat187006 • Ambitious