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patzeriap0

patzeriap0

Answered question

2022-05-28

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

Answer & Explanation

fongama33

fongama33

Beginner2022-05-29Added 12 answers

Step 1
This is a parametric form of equation.
At f ( π 4 ) , we have f ( π 4 ) = ( sin ( π 4 ) , cos ( π 4 ) ) = ( 1 2 , 1 2 )
And at f ( π ) , we have f ( π ) = ( sin π , cos π ) = ( 0 , - 1 )
and distance between them is
( 0 - 1 2 ) 2 + ( - 1 - 1 2 ) 2
= 1 2 + 1 + 1 2 + 2
= 2 + 2

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