What is the general solution for 75/125 =(cosh(0.2x))/(cosh(0.4x)) ?

The general solution for 75/125 =(cosh(0.2x))/(cosh(0.4x)) is x=ln(0.03402…),x=ln(29.38731…)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

75/125 =(cosh(0.2x))/(cosh(0.4x))

\frac{75}{125} = \frac{cosh ( 0.2 x )}{cosh ( 0.4 x )}

x = ln (0.03402 \dots), x = ln (29.38731 \dots)

Solution steps

\frac{75}{125} = \frac{cosh ( 0.2 x )}{cosh ( 0.4 x )}

Switch sides

\frac{cosh ( 0.2 x )}{cosh ( 0.4 x )} = \frac{75}{125}

Rewrite using trig identities

\frac{\frac{e ^{0.2 x} + e ^{- 0.2 x}}{2}}{\frac{e ^{0.4 x} + e ^{- 0.4 x}}{2}} = \frac{75}{125}

\frac{\frac{e ^{0.2 x} + e ^{- 0.2 x}}{2}}{\frac{e ^{0.4 x} + e ^{- 0.4 x}}{2}} = \frac{75}{125} : x = ln (0.03402 \dots), x = ln (29.38731 \dots)

x = ln (0.03402 \dots), x = ln (29.38731 \dots)

sec (4 x) - (\frac{2}{3}) = 0

3 cos (x) + 6 = cos (x) + 5

cos (x) = \frac{1}{3}, \frac{3 π}{2} < x < 2 π

\frac{2.68}{sin ( 12 6 ^{\circ} )} = \frac{1.2}{sin ( x )}

3 csc^{2} (x) - 5 csc (x) - 2 = 0

What is the general solution for 75/125 =(cosh(0.2x))/(cosh(0.4x)) ?
The general solution for 75/125 =(cosh(0.2x))/(cosh(0.4x)) is x=ln(0.03402…),x=ln(29.38731…)