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Cosh x = 25/7, x > 0

User Grigione
by
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1 Answer

2 votes

we have

cosh(x)=25/7 and x>0

Remember that


\cos h^2(x)-\sinh ^2(x)=1

substitute the given function


((25)/(7))^2-\sinh ^2(x)=1
\sinh ^2(x)=(625)/(49)-1
\sinh ^2(x)=(576)/(49)

therefore

sinh(x)=24/7

User Meidan Alon
by
3.9k points