Prove that cos^(−1)(2/(sqrt7))+tan^(-1)((sqrt3)/5)=pi/3

clealtAfforcewug

clealtAfforcewug

Answered question

2022-11-19

Prove that cos 1 ( 2 7 ) + tan 1 ( 3 5 ) = π 3

Answer & Explanation

Cindy Mercer

Cindy Mercer

Beginner2022-11-20Added 13 answers

Observe that
cos 1 ( 2 7 ) = tan 1 ( 3 2 )
So we have
tan 1 ( 3 2 ) + tan 1 ( 3 5 ) = tan 1 ( 3 2 + 3 5 1 3 2 3 5 ) = tan 1 ( 3 ) = π 3

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