What is the distance between the following polar coordinates?: (6,7π12),(2,3π8)

1 Answer
Mar 15, 2016

d=21032+23

Explanation:

d=r21+r222r1r2cos(ϕ2ϕ1)

d=62+22262cos(3π87π12)

d=4024cos(29π24)

d=2106cos(29π24)

cos(29π6)=cos(4π+5π6)=cos(5π6)=32

cos(29π12)=cos(29π62)= 1+cos(29π6)2

cos(29π12)=1322=234=232

cos(29π24)=cos(29π122)= 1+cos(29π12)2

cos(29π24)=  1+(23)22

cos(29π24)=2+232

d=2 1062+232

d=21032+23