Question

find the six trigonometric function values of the specified angle. sin θ = (simplify your answer, including any radicals. use integers or fractions for any numbers in the expression.)

Explanation:

Step1: Recall sine - function definition

$\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}$

Step2: Identify opposite and hypotenuse

In the right - triangle, the side opposite to angle $\theta$ is 16 and the hypotenuse is 65.
So, $\sin\theta=\frac{16}{65}$

Answer:

$\frac{16}{65}$