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When the computer puts in arctan(-1)+ 3.14 is 2.356 but this calculator gets 2.379. How is that?

 Mar 19, 2015

Best Answer 

 #1
avatar+118723 
+5

$$\left({\frac{{\mathtt{\pi}}}{{\mathtt{180}}}}\right){\mathtt{\,\times\,}}\underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{360^\circ}}}{{tan}}^{\!\!\mathtt{-1}}{\left(-{\mathtt{1}}\right)}{\mathtt{\,\small\textbf+\,}}{\mathtt{3.14}} = {\mathtt{2.354\: \!601\: \!836\: \!602\: \!551\: \!7}}$$

$$\left({\frac{{\mathtt{\pi}}}{{\mathtt{180}}}}\right){\mathtt{\,\times\,}}\underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{360^\circ}}}{{tan}}^{\!\!\mathtt{-1}}{\left(-{\mathtt{1}}\right)}{\mathtt{\,\small\textbf+\,}}{\mathtt{\pi}} = {\mathtt{2.356\: \!194\: \!490\: \!192\: \!344\: \!9}}$$

 

i used this calc and i get   2.356

--------------------------

now without a calc

atan(-1)+pi   =  -pi/4 + pi = 3pi/4

 

$${\frac{{\mathtt{3}}{\mathtt{\,\times\,}}{\mathtt{\pi}}}{{\mathtt{4}}}} = {\mathtt{2.356\: \!194\: \!490\: \!192\: \!344\: \!9}}$$

 

 

 

arctan(-1)+ 3.14
arctan(-1)+ 3.14
 Mar 20, 2015
 #1
avatar+118723 
+5
Best Answer

$$\left({\frac{{\mathtt{\pi}}}{{\mathtt{180}}}}\right){\mathtt{\,\times\,}}\underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{360^\circ}}}{{tan}}^{\!\!\mathtt{-1}}{\left(-{\mathtt{1}}\right)}{\mathtt{\,\small\textbf+\,}}{\mathtt{3.14}} = {\mathtt{2.354\: \!601\: \!836\: \!602\: \!551\: \!7}}$$

$$\left({\frac{{\mathtt{\pi}}}{{\mathtt{180}}}}\right){\mathtt{\,\times\,}}\underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{360^\circ}}}{{tan}}^{\!\!\mathtt{-1}}{\left(-{\mathtt{1}}\right)}{\mathtt{\,\small\textbf+\,}}{\mathtt{\pi}} = {\mathtt{2.356\: \!194\: \!490\: \!192\: \!344\: \!9}}$$

 

i used this calc and i get   2.356

--------------------------

now without a calc

atan(-1)+pi   =  -pi/4 + pi = 3pi/4

 

$${\frac{{\mathtt{3}}{\mathtt{\,\times\,}}{\mathtt{\pi}}}{{\mathtt{4}}}} = {\mathtt{2.356\: \!194\: \!490\: \!192\: \!344\: \!9}}$$

 

 

 

arctan(-1)+ 3.14
arctan(-1)+ 3.14
Melody Mar 20, 2015

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