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what agle has tan .333

 May 25, 2014

Best Answer 

 #1
avatar+33616 
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If tan(A)=0.333 then A = tan-1(0.333)  (on a calculator tan-1 is usually represented by atan) so:

$${\mathtt{A}} = \underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{360^\circ}}}{{tan}}^{\!\!\mathtt{-1}}{\left({\mathtt{0.333}}\right)} \Rightarrow {\mathtt{A}} = {\mathtt{18.417\: \!758\: \!370\: \!539^{\circ}}}$$

A ≈18.4° This is the result in first quadrant.

Because tan also has the same value in the 3rd quadrant the solution could also be A = 180°+18.4° = 198.4°

 May 25, 2014
 #1
avatar+33616 
+5
Best Answer

If tan(A)=0.333 then A = tan-1(0.333)  (on a calculator tan-1 is usually represented by atan) so:

$${\mathtt{A}} = \underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{360^\circ}}}{{tan}}^{\!\!\mathtt{-1}}{\left({\mathtt{0.333}}\right)} \Rightarrow {\mathtt{A}} = {\mathtt{18.417\: \!758\: \!370\: \!539^{\circ}}}$$

A ≈18.4° This is the result in first quadrant.

Because tan also has the same value in the 3rd quadrant the solution could also be A = 180°+18.4° = 198.4°

Alan May 25, 2014

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