Question

Heya!! ❤️

If tanA = 3 / 4 and tanB = 4 / 3 , then find the value of ( A + B )

Options :-

A. π / 4

B. 3π / 4

C. π

D. π / 2

★ Need Full Salutation ★​

Answer 1

The answer is D.π/2

Full solution is given in the picture.

Hope it is helpful.

Answer 2

$\underline{\textsf{Solution :}}$

$\textsf{Given that,}$

$\mathsf{tanA=\frac{3}{4}\:,\:tanB=\frac{4}{3}}$

$\mathsf{Now,\:tan(A+B)=\frac{tanA+tanB}{1-tanA\:tanB}}$

$\mathsf{=\dfrac{\frac{3}{4}+\frac{4}{3}}{1-\frac{3}{4}\frac{4}{3}}}$

$\mathsf{=\dfrac{\frac{9+16}{12}}{1-1}}$

$=\mathsf{\dfrac{\frac{25}{12}}{0}}$

$=\mathsf{un de f ined}$

$\to \mathsf{tan(A+B)= un de f ined}$

$\to \mathsf{tan(A+B)=tan\frac{\pi}{2}}$

$\to \boxed{\mathsf{A+B=\frac{\pi}{2}}}$

$\textsf{``Option D" is correct.}$