Question

Assuming cos t = .45 and cos w = .89, both t and w are positive, and both t and w determine a terminal point in quadrant 4, then which of the following statements best describes the relationship between t and w?
A. t > w
B. w > t
C. It is not possible to tell from the given information.

Answer 1

Assuming both angles indicate a point on the unit circle in quadrant 1, which is described in polar coordinates as having a range of 0 to pi/2 or 0 to 90 degrees, the cosine of a value decreases as angle increases. Naturally, since cos t = 0.45 and cos w = 0.89, cos t < cos w, therefore t > w.

Answer 2

Answer:

W>2

Step-by-step explanation:

cos-1 0.45 = 63.3°

cos-1 0.89 = 27.1°

The angle for which t is a reference is 296.7°.

The angle for which w is a reference is 332.9°.

w > t