Question

if A+B=π÷4 than (1+tanA )(1-tanB)​

Answer 1

Answer:

trow dt

Step-by-step explanation:

Answer 2

$\huge\tt\underline\purple{Given:-}$

A + B = π ÷ 4

$\huge\tt\underline\purple{To\:find:-}$

Value of (1+tanA)(1–tanB)

$\huge\tt\underline\purple{Solution:-}$

$A + B = \frac{\pi}{4} \\ \\ tan(A + B) = tan( \frac{\pi}{4} ) \\ \\ \frac{tan \: A \: + tan \: B} {1 - tan \: A \: tan \: B}= 1 \\ \\ tan \: A \: + tan \: B \: = 1 - \: tan \: A + \: tan \: B \\ \\ tan \: A \: + \: tan \: B \: + \: tan \: A \: tan \: B \: = 1 \\ \\ ★Add \: 1 \: on \: both \: sides★ \\ \\ tan \: A \: + \: tan \: B \: + tan \: aA\: tan \: B \: + 1 \: = 1 + 1 \\ \\ (1 + tan \: A \: )(1 + tan \: B) \: = 2$

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