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#