Given that sectheta = -37/12 what is the value of cottheta for pi/2 < theta< pi?

Step-by-step explanation:

The cotangent of theta is:

For pi/2 < theta< pi

This means that the angle is in the second quadrant. In the second quadrant, the cosine is negative and the sine is positive. This means that the cotangent will be negative.

Secant:

In this question

So

Using cross multiplication

Now we apply the following trigonometric identity:

Since the angle is in the second quadrant, the sine is positive.

Finally, the cotangent:

she was supposed to add the hours(38.5) and multiply the amount of money she earned(7.50) resulting in $288.75 .

correct me if i'm wrong and if it is i'm truly sorry.