Determine the quadrant when the terminal side of the angle lies according to the following conditions: cos (t) < 0, csc (t) > 0.

The angle is in the second quadrant.

Step-by-step explanation:

The cosecant of an angle is the same as the reciprocal of the sine of that angle. In other words, as long as ,

.

Therefore, is equivalent to .

Consider a unit circle centered at the origin. If the terminal side of angle intersects the unit circle at point , then

For angle ,

In other words, this intersection is above and to the left of the origin. That corresponds to second quadrant of the cartesian plane.

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step-by-step explanation:

i think the correct option is the second option.