asked 12.9k views
0 votes
Assume 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. which of the following statements best describes the relationships between t and w?

A. it is not possible to tell from the given information
B. W>T
C. T>W

2 Answers

2 votes

As both
T and
W determine terminal points in the fourth quadrant, we know that both angles fall between
270^\circ and
360^\circ. We also know that
0<\cos x^\circ<1 for
270<x<360, and that
\cos x is strictly increasing along this interval.

This means that the angle with the larger cosine value must be closer to having a measure of 360 degrees than the angle with the smaller cosine value, so
W>T.

4 votes

Answer:w>t

Explanation:

answered
User Adriano Castro
by
8.6k points

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