Question

If x + y is equal to 45 degree then prove that 1 + 10 x into 1 + tan y is equal to 2

Answer 1

Answer:

Step-by-step explanation:

(1+tanx).(1+tany)=1+tanx+tany+tanx.tany. Now,tan(x+y)=tanx+tany/1-tanx.tany. Given,x+y=45degree then,tan45=tanx+tany/1-tanx.tany or 1-tanx.tany=tanx+tany. Now,(1+tanx).(1+tany)=1+1-tanx.tany+tanx.tany=2 or,(1+tanx).(1+tany)=2