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tan(x)=2, what is x in Degrees

 Mar 5, 2015

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 #2
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I am sorry anon but your answer is not correct.  Can you work our why?

 

 

$$\underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{360^\circ}}}{{tan}}^{\!\!\mathtt{-1}}{\left({\mathtt{2}}\right)} = {\mathtt{63.434\: \!948\: \!822\: \!922^{\circ}}}$$

 

general solution.   Where n is an integer

 

$$x=(180n+63.43)^0$$

 Mar 5, 2015
 #1
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Since the result is 2, it must mean that the opposite side divided by the djacent side equals 2. This only occurs whens the oppostie side is twice the adjacent side. Therefore it must be at an angle of 30 degrees. If you draw the 30-60-90 triangle this can be verified.

 Mar 5, 2015
 #2
avatar+118613 
+5
Best Answer

I am sorry anon but your answer is not correct.  Can you work our why?

 

 

$$\underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{360^\circ}}}{{tan}}^{\!\!\mathtt{-1}}{\left({\mathtt{2}}\right)} = {\mathtt{63.434\: \!948\: \!822\: \!922^{\circ}}}$$

 

general solution.   Where n is an integer

 

$$x=(180n+63.43)^0$$

Melody Mar 5, 2015

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