Question

If $\sin \theta =\frac{3}{5},$ find the value of $\tan \theta .$

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

Answer 1

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

$\sin \theta =\frac{3}{5}$
$⟹$ Hypotenuse $=5,$
Opposite side $=3⟹$ adjacent side $=4$

Therefore, $\cos \theta =\frac{4}{5}$ and $\tan \theta =\frac{3}{4}$