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Determine the magnitude of the vector

Consider the parallelogram ABCD below.   Suppose the magnitude of vector a is 80 and the magnitude of vector b is 60.  Suppose that the angle B is 127 degrees. Use

If central angle theta is measured in radians, and we are on the unit circle, then what can we conclude about theta and the arc length?  

Determine rectangular coordinates for the following point in polar coordinates:

Let   

In the third quadrant ([one]), [tan] are positive and other trigonometric ratios are negative.

Consider the graph of the function

One object is dropped from an airplane flying horizontally at a rate of 100 mi/hr and another from a plane flying horizontally at 200 mi/hr.  Both planes are the same altitude.  Compare the times required for both objects to reach the ground.  What principle is involved?

What doctrine concerning Christ is at stake in the discussion of original sin?

All orthodox theologians hold to the impeccability of Christ.