Find the distance between

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3 years ago

Find the distance between the points with polar coordinates (2, pi /3) and (4, 2pi /3).

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cheyenne29 Staff answered 3 years ago

Recall that: D=sqrt(r_(1)^(2)+r_(2)^(2)-2r_(1)r_(2)cos (0_(1)-0_(2))) The proof is given in the next exercise D=sqrt(2^(2)+4^(2)-2*2*4cos ((pi)/(3)-(2pi)/(3))) D=sqrt(20-16cos (-(pi)/(3))) D=sqrt(20-16*(1)/(2)) D=sqrt(20-8)=sqrt(12)=2sqrt(3) Result: D=2sqrt(3)

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