Question

If $\text{sin}\theta =\frac{4}{5}$ and $\text{cos}\theta =\frac{3}{5},$ then $\text{tan}\theta$ = .

• A. $\frac{3}{5}$
• B. $\frac{4}{3}$
• C. $\frac{4}{5}$
• D. $\frac{5}{3}$

Answer 1

The correct option is B $\frac{4}{3}$

For an acute angle $\theta ,$ we have

$\text{tan}\theta =\frac{\text{sin}\theta }{\text{cos}\theta }.$

$\therefore \text{tan}\theta =\frac{\frac{4}{5}}{\frac{3}{5}}=\frac{4}{3}$