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

Respuesta :

As both [tex]T[/tex] and [tex]W[/tex] determine terminal points in the fourth quadrant, we know that both angles fall between [tex]270^\circ[/tex] and [tex]360^\circ[/tex]. We also know that [tex]0<\cos x^\circ<1[/tex] for [tex]270<x<360[/tex], and that [tex]\cos x[/tex] 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 [tex]W>T[/tex].

Answer:w>t

Step-by-step explanation: