+0  
 
0
713
1
avatar

tan A= 3/sqrt(5)

 Jun 13, 2014

Best Answer 

 #1
avatar+33665 
+5

You can use the calculator here to find A using the tan-1 (or atan) function (press the 2nd button on the calculator to see atan).

$${\mathtt{A}} = \underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{360^\circ}}}{{tan}}^{\!\!\mathtt{-1}}{\left({\frac{{\mathtt{3}}}{{\sqrt{{\mathtt{5}}}}}}\right)} \Rightarrow {\mathtt{A}} = {\mathtt{53.300\: \!774\: \!799\: \!51^{\circ}}}$$

This is the result in the 1st quadrant.  tan is also positive in the third quadrant so you could also add 180° to the above to get another value within the range 0° to 360°

 Jun 13, 2014
 #1
avatar+33665 
+5
Best Answer

You can use the calculator here to find A using the tan-1 (or atan) function (press the 2nd button on the calculator to see atan).

$${\mathtt{A}} = \underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{360^\circ}}}{{tan}}^{\!\!\mathtt{-1}}{\left({\frac{{\mathtt{3}}}{{\sqrt{{\mathtt{5}}}}}}\right)} \Rightarrow {\mathtt{A}} = {\mathtt{53.300\: \!774\: \!799\: \!51^{\circ}}}$$

This is the result in the 1st quadrant.  tan is also positive in the third quadrant so you could also add 180° to the above to get another value within the range 0° to 360°

Alan Jun 13, 2014

1 Online Users

avatar