Updated spacing between @ latex expressions

astrosander edited
revision #10375 parent #9949 GitHub c702ebe ← older
@@ -68,22 +68,22 @@
<h3>Solution</h3>
<p>
−$$ vt_{1} \cdot \cos \alpha = vt_{2} \cdot \cos \beta $$
+$$ vt_{1} \cdot \cos\alpha = vt_{2} \cdot \cos\beta$$
−$$ vt_{1}\cdot \sin\alpha - \frac{gt_{1}^{2}}{2}=vt_{2}\cdot \sin\beta-\frac{gt_{2}^{2}}{2} $$
+$$ vt_{1}\cdot \sin\alpha - \frac{gt_{1}^{2}}{2}=vt_{2}\cdot \sin\beta -\frac{gt_{2}^{2}}{2} $$
<p>From the first equation,</p>
−$$ t_{1}=t_{2} \cdot \frac{\cos \beta}{\cos \alpha} $$
+$$ t_{1}=t_{2} \cdot \frac{\cos\beta}{\cos\alpha} $$
<p>We substitute $t_{1}$ into the second equation and express $t_{2}$. Trigonometric formulas 63 will come in handy. The $t_{2}$ we have already obtained is enough to insert into $x=vt_{2}\cos\beta$, where $x$ is the desired distance.</p>
<p>Using trigonometric formulas:</p>
−$$ t_{2}= \frac{2\nu ^{2}}{g(\tan\beta +\tan\alpha )\cos\beta } $$
+$$ t_{2}= \frac{2\nu^{2}}{g(\tan\beta +\tan\alpha )\cos\beta} $$
−$$ \fbox{$x = \frac{2\nu ^{2}}{g(\tan\beta +\tan\alpha )}$} $$
+$$ \fbox{$x = \frac{2\nu^{2}}{g(\tan\beta +\tan\alpha )}$} $$
</p>
<h4>Answer</h4>
<p>
− $$x = \frac{2\nu ^{2}}{g(\tan\beta +\tan\alpha )}$$
+ $$x = \frac{2\nu^{2}}{g(\tan\beta +\tan\alpha )}$$
</p>
<p style="text-align: right; font-style: italic; font-size: 14;">
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