Cot theta = - square root 5/2, pi/2 < theta < pi, tan theta find the exact trigonometric value

Cot(theta) = - square root 5/2pi/2< theta < pi

This means that the angle theta is in the second quadrant and cos(theta) has a negative value.

cot(theta) = cos(theta)/sin(theta)

We can calculate the equivalent value of the angle in the first quadrant

Which iscot^(-1)(sqrt(5/2)) = 32.31 degrees

And now, the exact trigonometric value is 180 - 32.31 = 147.69 degrees

Correct sir/miss have a good day x < 3

Answers4.) -1/205.) -1/406.) -55/127.) -3/4