Question

In the figure given below, what is the value of $tan\theta$ in terms of a,b and c?

• A. $\frac{b}{a}$
• B. $\frac{a}{b}$
• C. $\frac{b}{c}$
• D. $\frac{c}{a}$

Answer 1

The correct option is B $\frac{a}{b}$


We know that $tan\theta =\frac{\text{Opposite side}}{\text{Adjacent Side}}$

For the angle $\theta$, the opposite side is BC and its length is $a$.
For the same angle $\theta$ the adjacent side is AC, and its length is $b$.

$\therefore tan\theta =\frac{BC}{AC}=\frac{a}{b}$