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If $A+B=225^\circ$, then find $(1+\tan A)(1+\tan B) $.

 Jan 30, 2021
 #1
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+1

The problem here is that  A, B    could take on infinite values

 

For example  A  =180    B   = 45

 

Tan A  = 0     Tan B   = 1

 

So   ( 1 + Tan A) (1 +  Tan B)  = ( 1 + 0)  (1 + 1)  =    2

 

However

 

A =   270     B  =   - 45

 

Tan A  = undefined....so   (1 + Tan A)  (1 + Tan B) is also undefined 

 

 

I'm  assuming  that the first situation might be what is  intended

 

 

cool cool cool

 Jan 30, 2021

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