A point on the terminal side of angle θ is given. Find the exact value of the indicated trigonometric function of θ.
-$( 18,24 )$ Find $\sin \theta$.
A) $\frac { 4 } { 5 }$
B) $\frac { 3 } { 5 }$
C) $\frac { 3 } { 4 }$
D) $\frac { 4 } { 3 }$

Question

Quizplus · Accepted Answer

The point (18, 24) forms a right triangle with the x-axis. The hypotenuse is calculated using the Pythagorean theorem: $\sqrt{18^2 + 24^2} = \sqrt{324 + 576} = \sqrt{900} = 30$. The sine of θ is the opposite side over the hypotenuse: $\frac{24}{30} = \frac{4}{5}$.

A Point on the Terminal Side of Angle θ Is (18,24)( 18,24 )(18,24)

A Point on the Terminal Side of Angle θ Is $( 18,24 )$