the figure shows an angle θ in standard position with its terminal side intersecting the unit circle…
the figure shows an angle θ in standard position with its terminal side intersecting the unit circle. evaluate the six circular function values of θ. sin θ = (simplify your answer, including any radicals. use integers or fractions for any numbers in the expression.)
Answer
Answer:
$\sin\theta=\frac{12}{13}$
Explanation:
Step1: Recall circular - function definition
For a point $(x,y)$ on the unit - circle and an angle $\theta$ in standard position whose terminal side intersects the unit - circle at $(x,y)$, $\sin\theta = y$.
Step2: Identify the y - coordinate
The given point on the unit - circle is $\left(-\frac{5}{13},\frac{12}{13}\right)$. Here, $y=\frac{12}{13}$. So, $\sin\theta=\frac{12}{13}$.