+0  
 
+2
215
1
avatar+221 

if 

tan(π / 3-A) = cot(π / 3)

 

What is A?

 

0 < A < π / 2

 Apr 24, 2018
 #1
avatar+98044 
+2

Converting rads to degrees, we have

 

tan ( 60° -  A)  =  cot (60°)

 

And since they are co-functions....cot (60°)  =  tan(90° - 60°)  =  tan (30°)

 

So

 

tan (60 - A)  = cot(60)  = tan (30)

 

So

 

tan (60 - A)  - tan(30)

 

So   A  =  30°  =  pi / 6

 

 

cool cool cool

 Apr 24, 2018

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