Translations
:
Traveltime for velocity linear with depth/4/en
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{\displaystyle {\begin{aligned}&t{\rm {=}}{\left[{\frac {\rm {l}}{a}}{\rm {\ log\ }}{\frac {{\rm {1}}-{\rm {\ cos\ }}\theta }{{\rm {\ sin\ }}\theta }}\right]}_{{\theta }_{0}}^{\theta }{\rm {=}}{\left[{\frac {\rm {l}}{a}}{\rm {\ log\ \ tan\ }}{\frac {\theta }{\rm {2}}}\right]}_{{\theta }_{0}}^{\theta }{\rm {=}}{\frac {\rm {l}}{a}}{\rm {\ log\ }}{\frac {{\rm {\ tan\ }}\left(\theta {\rm {/2}}\right)}{{\rm {\ tan\ }}\left({\theta }_{0}{\rm {/2}}\right)}},\end{aligned}}}
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![{\displaystyle {\begin{aligned}&t{\rm {=}}{\left[{\frac {\rm {l}}{a}}{\rm {\ log\ }}{\frac {{\rm {1}}-{\rm {\ cos\ }}\theta }{{\rm {\ sin\ }}\theta }}\right]}_{{\theta }_{0}}^{\theta }{\rm {=}}{\left[{\frac {\rm {l}}{a}}{\rm {\ log\ \ tan\ }}{\frac {\theta }{\rm {2}}}\right]}_{{\theta }_{0}}^{\theta }{\rm {=}}{\frac {\rm {l}}{a}}{\rm {\ log\ }}{\frac {{\rm {\ tan\ }}\left(\theta {\rm {/2}}\right)}{{\rm {\ tan\ }}\left({\theta }_{0}{\rm {/2}}\right)}},\end{aligned}}}](https://en.wikipedia.org/api/rest_v1/media/math/render/svg/cd4d77eb3a14c6b0a333b7f1a8159b5b67523333)