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

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

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

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

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

Solution steps

\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)

t, x = 4 sin (t)

sin (2 x) + 1.5 cos (x) = 0

sin (w π) = 0

(1 + cos (x)) (1 - sin (x)) - cos^{2} (x) = 0

cos (x) = - 8

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