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what is x if the equation is 2(tan-1(x/160)) = tan-1(x/60)?

 Jul 9, 2015

Best Answer 

 #1
avatar+26396 
+10

what is x if the equation is 2(tan-1(x/160)) = tan-1(x/60) ?

 

2[arctan(x160)]=arctan(x60)|φ=arctan(x160)2φ=arctan(x60)|tan()tan(2φ)=x60tan(2φ)=2tan(φ)1[tan(φ)]2 tan(2φ)=2tan(arctan(x160))1[tan(arctan(x160))]2 tan(2φ)=2x1601(x160)2 2x1601(x160)2=x6011(x160)2=431(x160)2=34(x160)2=14|±x160=±0.5x=±0.5160x1=80x2=80

 

 Jul 10, 2015
 #1
avatar+26396 
+10
Best Answer

what is x if the equation is 2(tan-1(x/160)) = tan-1(x/60) ?

 

2[arctan(x160)]=arctan(x60)|φ=arctan(x160)2φ=arctan(x60)|tan()tan(2φ)=x60tan(2φ)=2tan(φ)1[tan(φ)]2 tan(2φ)=2tan(arctan(x160))1[tan(arctan(x160))]2 tan(2φ)=2x1601(x160)2 2x1601(x160)2=x6011(x160)2=431(x160)2=34(x160)2=14|±x160=±0.5x=±0.5160x1=80x2=80

 

heureka Jul 10, 2015
 #2
avatar+33654 
+5

There is also the trivial solution x= 0

.

 Jul 10, 2015
 #3
avatar+118696 
+5

I have only just now had a chance to look at your answer Heureka.

I really like it.      

 

 

I have added this thread address to our "Great Answers to Learn From" sticky thread.  :)

 Jul 16, 2015

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