What is the distance between the following polar coordinates?: (2,

MMDCCVIII446

MMDCCVIII446

Answered question

2022-02-04

What is the distance between the following polar coordinates?: (2,5π12),(1,3π12)

Answer & Explanation

mixtyggc

mixtyggc

Beginner2022-02-05Added 15 answers

Answer: D=5231.2393
Explanation:
Distance between Polar Co-ordinates: A(r1,θ1)and B(r2,θ2) is
D=r12+r222r1r2cos(θ1θ2)(I)
We have, P1(2,5π12)and P2(1,3π12)
So, r1=2,r2=1,θ1=5π12and θ2=3π12
θ1θ2=5π123π12=2π12=π6=30
cos(θ1θ2)=cos(30)
Using: (I) we get
D=22+122(2)(1)cos30
D=4+1432
D=523
D1.2393

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