Question

If A+B = 315º then (1 – tan A)(1–tan B)=​

Answer 1

Answer:

A+B=315°

(1 – tan A)(1–tan B)=2

Step-by-step explanation:

A+B=315°

=>tan(A+B)=tan(360°-45°)

tanA+tanB

=>---------------- == -tan45°

1-tanAtanB

=>tanA+tanB = tanAtanB-1

=>(1-tanA)(1-tanB)

=>1-tanB-tanA+tanAtanB

=>1-(tanA+tanB)+tanAtanB

=>1-tanAtanB+1+tanAtanB

=>1+1

=>2