What is the value of cosh(ln3)?

pacheclownfgtv

pacheclownfgtv

Answered question

2023-03-15

What is the value of cosh ( ln 3 ) ?

Answer & Explanation

cerakank2n

cerakank2n

Beginner2023-03-16Added 6 answers

Given:
cosh x = 1 2 ( e x + e - x ) x
therefore:
cosh ( ln 3 ) = 1 2 ( e ln 3 + e - ln 3 )
cosh ( ln 3 ) = 1 2 ( e ln 3 + e ln ( 1 3 ) )
cosh ( ln 3 ) = 1 2 ( 3 + 1 3 ) = 1 2 ( 10 3 )
cosh ( ln 3 ) = 5 3

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