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Lucia Grimes

Lucia Grimes

Answered question

2022-07-07

solve:
3 cot A . cot 2 A cot A cot 2 A = 3

Answer & Explanation

conveneau71

conveneau71

Beginner2022-07-08Added 17 answers

3 cot A . cot 2 A cot A cot 2 A 3 = 0
3 ( cot A cot 2 A 1 ) 1 ( cot A + cot 2 A ) = 0
3 ( cot A cot 2 A 1 ) = ( cot A + cot 2 A )
3 = cot A + cot 2 A cot A cot 2 A 1
3 = tan 2 A + tan A 1 tan A tan 2 A = tan ( 2 A + A ) = tan 3 A
tan 3 A = 3 = tan π 3
3 A = n π + π 3
So A = n π 3 + π 9 where n=0,1,2,…
Now choose n such that 0 < A < 360 according to your question.

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