Question

If tan 0=3/4 find sin0

Answer 1

Answer:

sin O = $\frac{3}{5}$

Step-by-step explanation:

given tan O = $\frac{3}{4}$ = $\frac{opposite}{adjacent}$

Then this is a right triangle with legs 3 and 4

Using Pythagoras' identity then the hypotenuse (h ) is

h = $\sqrt{3^2+4^2}$ = $\sqrt{25}$ = 5, hence

sin O = $\frac{opposite}{hypotenuse}$ = $\frac{3}{5}$