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Cristopher Knox 2022-06-30 Answered
For f ( t ) = ( sin t , cos 2 t t ) what is the distance between f ( π 4 ) and f ( π )
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Answers (1)

Hayley Mccarthy
Answered 2022-07-01 Author has 19 answers
Step 1
Here,
f ( t ) = ( sin t , cos 2 t t )
f ( π 4 ) = ( sin ( π 4 ) , cos 2 ( π 4 ) π 4 ) = ( 1 2 , 1 2 π 4 ) = ( 1 2 , 2 π )
Similarly,
f ( π ) = ( sin π , cos 2 π π ) = ( 0 , ( - 1 ) 2 π ) = ( 0 , 1 π )
Distance Formula:
If A ( x 1 , y 1 ) and B ( x 2 . y 2 ) , , then
d ( A , B ) = ( x 1 - x 2 ) 2 + ( x 2 - y 2 ) 2
d ( f ( π 4 ) , f ( π ) ) = ( 1 2 - 0 ) 2 + ( 2 π - 1 π ) 2 = 1 2 + 1 π 2
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