The angle
θ
1
θ
1

theta, start subscript, 1, end subscript is located in Quadrant
III
IIIstart text, I, I, I, end text, and
cos
⁡
(
θ
1
)
=
−
13
30
cos(θ
1

)=−
30
13

cosine, left parenthesis, theta, start subscript, 1, end subscript, right parenthesis, equals, minus, start fraction, 13, divided by, 30, end fraction .
What is the value of
sin
⁡
(
θ
1
)
sin(θ
1

)sine, left parenthesis, theta, start subscript, 1, end subscript, right parenthesis?