Home
Class 11
MATHS
If A+B = (pi)/4, then prove that (1+tanA...

If `A+B = (pi)/4`, then prove that `(1+tanA)(1+tanB) = 2`.

Promotional Banner

Topper's Solved these Questions

  • MARCH - 2016 (TELANGANA)

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise Section -B (Short answer type questions)|8 Videos

  • MARCH - 2016 (TELANGANA)

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise Section -C (Long answer type quesitons)|7 Videos

  • MARCH - 2016 (ANDHRA PRADESH)

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise Section- C(Long answer type questions)|7 Videos

  • MATHEMATICAL INDUCTION

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise Exercise 2 (a)|15 Videos

Similar Questions

Explore conceptually related problems

If A-B=(3pi)/(4) , that show that (1- tan A) (1+tan B)=2

If A+B=pi//4 , then prove that (cotA-1)(cotB-1)=2

If 0 lt A lt pi/4 , then prove that tan^(-1)(1/2tan2A)+tan^(-1)(cotA)+tan^(-1)(cot^(3)A)=

If A+B+C=(pi)/(2) , then prove that sin ^(2) A+ sin ^(2) B + sin ^(2) C=1-2 A sin B sin C .

If A + B = (pi)/(4) , show that (cot A - 1) (cot B - 1) = 2 and hence deduce that cot 22^((1^(0))/(2))=sqrt(2)+1.

If none of 2A, 3A is an odd multiple of pi/2 then prove that tan 3A tan2A tanA = tan 3A-tan2A-tanA

If A+B+C=(pi)/(2) , then prove that cos 2A + cos 2B + cos 2C=1+4 sin A sin B sin C .

If none of 2A and 3A is an odd multiple of pi/2 , then prove that tan3A.tan2A.tanA=tan3A-tan2A-tanA .

If A + B = 135^(@) then (TanA.TanB)/((1+TanA)(1+TanB)) =

If A, B, C are angles of a triangle and if none of them is equal to pi/2 , then prove that tanA+tanB+tanC=tanAtanBtanC