What is the Cartesian form of $( 3 , ( - 15pi)/2 )$ ?

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Answer 1 · 2017-08-16T17:21:15

See explanation.

$x=r*cosvarphi=3*cos(-(15pi)/2)=3*cos((15pi)/2)=$

$=3*cos(7.5pi)=3*cos((3pi)/2)=3*0=0$

$y=r*sinvarphi=3*sin(-(15pi)/2)=-3sin((15pi)/2)=$

$=-3*sin((3pi)/2)=-3*(-1)=3$

The point's coordinates are $(0,3)$

What is the Cartesian form of ( 3 , ( - 15pi)/2 ) ( 3 , ( - 15pi)/2 ) ?