What is the general solution for 0.6=(cosh(0.2m))/(cosh(0.4m)) ?

The general solution for 0.6=(cosh(0.2m))/(cosh(0.4m)) is m=ln(0.03402…),m=ln(29.38731…)

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0.6=(cosh(0.2m))/(cosh(0.4m))

0.6 = \frac{cosh ( 0.2 m )}{cosh ( 0.4 m )}

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

Solution steps

0.6 = \frac{cosh ( 0.2 m )}{cosh ( 0.4 m )}

Switch sides

\frac{cosh ( 0.2 m )}{cosh ( 0.4 m )} = 0.6

Rewrite using trig identities

\frac{\frac{e ^{0.2 m} + e ^{- 0.2 m}}{2}}{\frac{e ^{0.4 m} + e ^{- 0.4 m}}{2}} = 0.6

\frac{\frac{e ^{0.2 m} + e ^{- 0.2 m}}{2}}{\frac{e ^{0.4 m} + e ^{- 0.4 m}}{2}} = 0.6 : m = ln (0.03402 \dots), m = ln (29.38731 \dots)

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

12 cos (2 x) + 5 sin (x) - 9 = 0

sin (x) = \frac{4}{8}

csc (a) = - 1

sin^{2} (\frac{x}{2}) = \frac{1}{2 - ( \frac{1}{2} sin ( \frac{x}{2} ) )}

cos (x) - cos (x + \frac{π}{4}) = 0

What is the general solution for 0.6=(cosh(0.2m))/(cosh(0.4m)) ?
The general solution for 0.6=(cosh(0.2m))/(cosh(0.4m)) is m=ln(0.03402…),m=ln(29.38731…)