If `A+B=45^(@)` , show that `(1+tanA)(1+tan B)=2`.

Verified by Experts

The correct Answer is:

2

Similar Questions

Explore conceptually related problems

If A + B = 90^(@) , prove that sqrt((tan A tan B + tan A cot B)/(sin A sec B ) - (sin^(2) B)/(cos^(2)A)) = tan A .

Show that sec A(1-sinA)(secA+tanA)=1.

If A-B=(pi)/(4) then (1+tan A)(1-tan B)=

If A+B+C=pi , Prove that tanA+tanB+tanC=tanA.tanB.tanC

If A' = [(2,5),(2,1),(-3,2)], B = [(2,-1,-2),(4,0,5)] and [(4,5,2),(0,1,4)] find A + B and B -C , show that A + (B -C) = (A + B) - C .

If x=180^(@) ,A = (pi)/(3) and B=(pi)/(6) Prove that tan(A-B)= (tanA-tanB)/(1+tanAtanB)

If tan A=(1)/(2), tan B=(1)/(3) then tan (2 A+B) is equal to

In a triangle A B C, tan A+tan B+tan C=6 and tan A . tan B=2, then the values of tan A tan B and tan C are

If U= {0, 1, 2, 3, 4}and A={1, 4}, B={1, 3} show that (A cup B)^(l) = A^(l) cap B^(l) .

If A , B and C are interior angles of a triangle ABC, then show that tan ((A+B) /(2)) =cot C/(2)