What is the distance between the following polar coordinates?: # (5,(5pi)/4), (2,(11pi)/8) #

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Answer 1 · 2017-12-12T17:38:23

if #A(5,(5π)/4)# , #Β(2,(11π)/8)#

#d_(AB)=sqrt(x_1^2+x_2^2-2x_1x_2cos(θ_1-θ_2))# #=#

#sqrt(5^2+2^2-2*5*2cos((5π)/4-(11π)/8))# #=#

#sqrt(25+4-20cos(-π/8))# #=#

#sqrt(29-20cos(π/8))# #=#

#sqrt(29-20(sqrt(2+sqrt2))/2# #=#

#sqrt(29-10sqrt(2+sqrt2))#