Question

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

• A. $\frac{25}{12}$
• B. $\frac{12}{5}$
• C. $\frac{12}{25}$
• D. $\frac{5}{4}$

Answer 1

The correct option is C $\frac{12}{25}$

By using Pythagoras theorem, we will find the value of hypotenuse.
$3^2+4^2=c^2$
$9+16=c^2$
$c=5$

So, $\frac{\sin \theta }{\sec \theta }$ = $\frac{oppositeside\times adjacentside}{hypotenuse\times hypotenuse}$

= $\frac{3\times 4}{5\times 5}$

=$\frac{12}{25}$

So, option C is correct.