<PRE><B>Question 1197786</B>

If the tangent of an angle is positive and the secant of the angle is negative, in which quadrant does the angle terminate?
A. I
B. II
C. III
D. IV
E. Information given is not sufficient to determine. 
&lt;pre&gt;Acronym: ASTC, which stands for: &lt;font color = red&gt;&lt;font size = 4&gt;&lt;b&gt;&lt;u&gt;A&lt;/font&gt;&lt;/font&gt;&lt;/u&gt;&lt;font color = blue&gt;&lt;font size = 4&gt;&lt;b&gt;&lt;u&gt;&lt;/u&gt;ll&lt;/font&gt;&lt;/font&gt;: ALL Trigonometric Ratios are POSITIVE in Quadrant I
                                 &lt;font color = red&gt;&lt;font size = 4&gt;&lt;b&gt;&lt;u&gt;S&lt;/font&gt;&lt;/font&gt;&lt;/u&gt;&lt;font color = blue&gt;&lt;font size = 4&gt;&lt;b&gt;&lt;u&gt;&lt;/u&gt;tudents&lt;/font&gt;&lt;/font&gt;: SINE and ALL of its affiliated Trigonometric Ratios are POSITIVE in Quadrant II
                                 &lt;font color = red&gt;&lt;font size = 4&gt;&lt;b&gt;&lt;u&gt;T&lt;/font&gt;&lt;/font&gt;&lt;/u&gt;&lt;font color = blue&gt;&lt;font size = 4&gt;&lt;b&gt;&lt;u&gt;&lt;/u&gt;ake&lt;/font&gt;&lt;/font&gt;: TANGENT and ALL of its affiliated Trigonometric Ratios are POSITIVE in Quadrant III
                                 &lt;font color = red&gt;&lt;font size = 4&gt;&lt;b&gt;&lt;u&gt;C&lt;/font&gt;&lt;/font&gt;&lt;/u&gt;&lt;font color = blue&gt;&lt;font size = 4&gt;&lt;b&gt;&lt;u&gt;&lt;/u&gt;alculus&lt;/font&gt;&lt;/font&gt;: COSINE and ALL of its affiliated Trigonometric Ratios are POSITIVE in Quadrant IV

Given that TANGENT is positive, the angle can terminate in either Quadrant I or III. However, since the SECANT (affiliated
with COSINE, as it&#39;s {{{1/cos (theta)}}}) of the angle is NEGATIVE, the angle DEFINITELY terminates in the 3&lt;sup&gt;rd&lt;/sup&gt; Quadrant &lt;font color = red&gt;&lt;font size = 4&gt;&lt;b&gt;(CHOICE C.)&lt;/font&gt;&lt;/font&gt;.&lt;/pre&gt;</PRE>