Answer
Cosine and secant are positive. All others are negative.
Work Step by Step
$1005^{\circ}-2\cdot 360^{\circ}=285^{\circ}$
$285^{\circ}$ is coterminal to $1005^{\circ}$ and is in the fourth quadrant. In quadrant IV, cosine and secant are positive, while the sine, cosecant, tangent, and cotangent are negative.
