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If A-B = pi/4, then (1+tanA)(1-tanB)=...

If `A-B = pi/4`, then (1+tanA)(1-tanB)=

A

4

B

3

C

1

D

2

Text Solution

Verified by Experts

The correct Answer is:
D
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Knowledge Check

  • If A+B= pi/4 , then (1+tan A) (1+tanB) is equal

    A
    1
    B
    2
    C
    `sqrt3`
    D
    None of these

  • If A+B=45^(@) , then (1+tanA)(1+tanB)=?

    A
    2
    B
    `-2`
    C
    1
    D
    0

  • If A+B=225^(@) , then (tanA)/(1-tanA).(tanB)/(1-tanB)=?

    A
    1
    B
    `-1`
    C
    0
    D
    `(1)/(2)`

    • Similar Questions

    Explore conceptually related problems

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

    If A-B=pi/4 , then prove that: (1+tanA)

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    If sinA+sinB=(pi)/(4),then (tanA+1)(tanB+1) is equal to

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