AIR MATH

Math Question

The angle \( \theta_{1} \) is located in Quadrant IV, and \( \sin \left(\theta_{1}\right)=-\frac{13}{85} \).
What is the value of \( \cos \left(\theta_{1}\right) \) ?
Express your answer exactly.
\[
\cos \left(\theta_{1}\right)=
\]
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