Question

In a triangle $ABC$, right angled at $C$, $a$, $b$ $c$ are the lengths of sides of triangle and hypotenuse respectively. Find the value of $\tan A+\tan B$.

• A. $a+b$
• B. $\frac{c^2}{ab}$
• C. $\frac{a^2}{bc}$
• D. $\frac{b^2}{ac}$

Answer 1

The correct option is B $\frac{c^2}{ab}$

$\tan A=\frac{a}{b}$

$\tan B=\frac{b}{a},c^2=a^2+b^2$

$\tan A+\tan B=\frac{a}{b}+\frac{b}{a}=\frac{a^2+b^2}{ab}=\frac{c^2}{ab}$
Option b