What is the general solution for sinh(x)= 6/5 ?

The general solution for sinh(x)= 6/5 is x=ln((6+sqrt(61))/5)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sinh(x)= 6/5

sinh (x) = \frac{6}{5}

x = ln (\frac{6 + 61}{5})

Solution steps

sinh (x) = \frac{6}{5}

Rewrite using trig identities

\frac{e ^{x} - e ^{- x}}{2} = \frac{6}{5}

\frac{e ^{x} - e ^{- x}}{2} = \frac{6}{5} : x = ln (\frac{6 + 61}{5})

x = ln (\frac{6 + 61}{5})

tan (2 x) tan (x) = 1

\frac{csc ^{2} ( x )}{4} = 4 sin^{2} (x)

6 sec^{2} (x) - 3 cos (x) - 10 = sec (x)

1 + 4 cos (θ) = 3 sin (θ)

tan (x) - sec (x) = 3

What is the general solution for sinh(x)= 6/5 ?
The general solution for sinh(x)= 6/5 is x=ln((6+sqrt(61))/5)