Question

Determine the exact value of $\sin \theta$ trigonometric functions for the angle formed when the terminal side passes through (3, 4).

• A. $\frac{4}{5}$
• B. $\frac{3}{5}$
• C. $\frac{2}{5}$
• D. $\frac{1}{5}$

Answer 1

The correct option is A $\frac{4}{5}$

By using Pythagoras theorem, we will find the value of hypotenuse.
$3^2+4^2=c^2$
$9+16=c^2$
$c=5$
So, sin$\theta$ = $\frac{oppositeside}{hypotenuse}$

$\sin \theta =\frac{4}{5}$

So, option A is correct.