While doing a sum I was stuck in a particular step: r 1 = 4...

Nickolas Taylor

Nickolas Taylor

Answered

2022-07-12

While doing a sum I was stuck in a particular step:
r 1 = 4 a cos θ sin 2 θ
and
r 2 = 4 a sin θ cos 2 θ
How to eliminate θ?

Answer & Explanation

enfeinadag0

enfeinadag0

Expert

2022-07-13Added 16 answers

r 1 r 2 = ( 4 a ) 2 sin θ cos θ
( r 2 r 1 ) 1 3 = sin θ cos θ
( r 2 r 1 ) 1 3 r 1 r 2 = sin 2 θ ( 4 a ) 2 = r 1 4 3 r 1 2 3
1 ( r 2 r 1 ) 1 3 r 1 r 2 = cos 2 θ ( 4 a ) 2 = r 1 2 3 r 1 4 3
r 1 4 3 r 2 2 3 + r 1 2 3 r 2 4 3 = 1 ( 4 a ) 2

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