What are the components of the vector between the origin and the polar coordinate $(-2, (7pi)/8)$ ?

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Answer 1 · 2016-10-03T06:48:14

$x=-2*(-0.924)=1.85$
$y=-0.77$

$"rounded the two decimal place"$

$(r,theta)$

$"x component :"x=r*cos theta$
$"y component :"y=r*sin theta$

$r=-2$
$theta=(7pi)/8$

$x=-2*cos( (7pi)/(theta))$

$x=-2*(-0.924)=1.85$

$y=-2*sin((7pi)/(8))$

$y=-2*0.383$

$y=-0.77$

What are the components of the vector between the origin and the polar coordinate (-2, (7pi)/8)(-2, (7pi)/8)?