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Cooper Krause

Cooper Krause

Answered question

2022-05-28

For f ( t ) = ( cos 2 t , sin 2 t ) what is the distance between f ( π 4 ) and f ( π )

Answer & Explanation

Tyree Duke

Tyree Duke

Beginner2022-05-29Added 10 answers

Step 1
As f ( t ) = ( cos 2 t , sin 2 t )
f ( π 4 ) = ( cos ( π 2 ) , sin 2 ( π 4 ) ) = ( 0 , 1 2 )
and f ( π ) = ( cos 2 π , sin 2 π ) = ( 1 , 0 )
and distance between f ( π 4 ) and f ( π ) is
( 1 - 0 ) 2 + ( 0 - 1 2 ) 2 = 1 + 1 4 = 5 2

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