Question

Find the exact value of sin $\theta$ trigonometric functions for the angle formed when the terminal side passes through (6, 8).

• A. $\frac{4}{5}$
• B. $\frac{6}{5}$
• C. $\frac{10}{5}$
• D. $\frac{3}{5}$

Answer 1

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

By using Pythagoras theorem, we will find the value of hypotenuse.
$6^2+8^2=c^2$
$36+64=c^2$
$c=10$
So, $\sin \theta$ = $\frac{oppositeside}{hypotenuse}$

= $\frac{8}{10}$ = $\frac{4}{5}$

So, option A is correct.