Question

8. If A + B = 7, then (1 + tan A) (1 + tan B) =
Va) 2
(6)1
(c) 0
(d) 3​

Answer 1

$\red {\huge {\underline{ \frak{Your \: answEr : }}}}$

$\purple{\large{\boxed{ \bold {Correct \: Option \: is \: (a) = 2}}}}$

• Correct Question :

If A + B = 45° ;

then Find (1 + tan A)(1 + tan B)

• Solution :

➟ A + B = 45°

[ taking tan both side ]

➟ tan(A + B) = tan 45°

➟ tan A + tan B = 1⠀⠀⠀⠀[ tan 45° = 1 ]

➟ $\large \bold{ \frac{ \tan A + \tan B}{1 - \tan A.\tan B} } = 1$

➟ tan A + tan B = 1 - tan A.tan B

➟ tan A + tan B + tan A.tan B + 1 = 2

➟ tan A + tan A.tan B + 1 + tan B = 2

➟ tan A(1 + tan B) + 1(1 + tan B) = 2

➟ (1 + tan A)(1 + tan B) = 2

$\huge{\red{\ddot{\smile}}}$