A wooden wheel that has a radius of 2 m was spun at a party game. It rotated at 2π radians per 4 seconds. Calculate the linear speed v of the point on the edge of the wheel.

Which of the following is the exact value of the given trigonometric function?

csc 45°

Determine the exact values of sin p, cos p, and tan p where p = -7π.

Considering the interval [0, 2π), find the exact values of p.

sin p = -1/2

Determine the exact value of the given function.

tan (5π/6)

Determine the exact value of the given function.

sin (π/4)

Determine the exact value of the following expression without the help of the calculator.

tan 240°

List the six trigonometric function values of the following angle. Provide exact values. When necessary, rationalize the denominator.

1290°

Evaluate the following trigonometric expression:

7 tan 45° + 2 cos 60° - cot² 225°

The circle with a radius of one unit is partitioned into twelve equal arcs, where each arc corresponds to specific t-values. Determine the value of the trigonometric function at the given real number t using the (x,y) coordinates in the diagram or specify that the expression is undefined.

$\sec(\frac{5\pi}{3})$