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author | sijanec <anton@sijanec.eu> | 2021-02-14 14:00:50 +0100 |
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committer | sijanec <anton@sijanec.eu> | 2021-02-14 14:00:50 +0100 |
commit | a660264d61c8c4ad3ec11297d93eac977b5d8c09 (patch) | |
tree | 789bcf4a2a50e76d5e1f3e7f8dff2a6d0db0582d /mat/domace_naloge/25/dokument.tex | |
parent | mat dn 25 (diff) | |
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Diffstat (limited to 'mat/domace_naloge/25/dokument.tex')
-rw-r--r-- | mat/domace_naloge/25/dokument.tex | 6 |
1 files changed, 3 insertions, 3 deletions
diff --git a/mat/domace_naloge/25/dokument.tex b/mat/domace_naloge/25/dokument.tex index 5985914..e4e67e0 100644 --- a/mat/domace_naloge/25/dokument.tex +++ b/mat/domace_naloge/25/dokument.tex @@ -151,9 +151,9 @@ Ta dokument vsebuje navodila in rešitve domačih nalog snovi \textit{\snovdn}pr \item $$\frac{\sin\ang{210}-\cos\ang{270}}{\tan\ang{135}\cdot\cot\ang{315}-\sin\ang{300}} =\frac{-\sin\ang{30}-0}{\frac{\sin{135}}{\cos{135}}\cdot\frac{\cos\ang{315}}{\sin\ang{315}}+\sin\ang{60}}=$$ $$=\frac{-\sin\ang{60}}{1+\sin\ang{60}}=-\frac{\frac{1}{2}}{1+\frac{\sqrt{3}}{2}} - =-\frac{1}{2\left(\frac{\sqrt{3}}{2}+1\right)}=\frac{1}{2\cdot\frac{\sqrt{3}+2}{2}}=-\frac{1}{2\left(\sqrt{3}+2\right)} - =\frac{1}{\sqrt{3}+2}=\frac{2-\sqrt{3}}{\left(\sqrt{3}+2\right)\left(\sqrt{2-\sqrt{3}}\right)}=$$ - $$=2-\sqrt{3}$$ + =-\frac{1}{2\left(\frac{\sqrt{3}}{2}+1\right)}=-\frac{1}{2\cdot\frac{\sqrt{3}+2}{2}}=-\frac{1}{2\left(\sqrt{3}+2\right)} + =-\frac{1}{\sqrt{3}+2}=-\frac{2-\sqrt{3}}{\left(\sqrt{3}+2\right)\left(\sqrt{2-\sqrt{3}}\right)}=$$ + $$=\sqrt{3}-2$$ \end{enumerate} \item Naj bo $\alpha$ kot, za katerega velja $\ang{0}\leq\alpha\leq\ang{360}$. V enotskem krogu načrtaj in nato še zapiši v stopinjah vse velikosti kotov $\alpha$, za katere velja: \begin{enumerate}[label=\textbf{\xslalph*)}] |