te the cos 8 and sec @ sin 0 and csc tan 0 and cot owing table, using the Quadrant I positive Terminal Side of Angle Lies in Quadrant Quadrant III II negative as appropr A All are positive in Quadrant I. S Sine is positive in Quadrant II. T Tangent is positive in Quadrant III. C Cosine is positive in Quadrant IV. (b) The mnemonic (memory device) ASTC (all students take calculus) is sometimes used to recall the signs of the trigonometric values in each quadrant: Check the validity of this mnemonic against your chart in part (a). O Yes, the mnemonic is valid. O No, the mnemonic is not valid. Quadrant IV

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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Question
(a) Complete the following table, using the words "positive" or "negative" as appropriate.
Terminal Side of Angle Lies in
Quadrant
II
Quadrant
III
cos and
sec @
sin 0 and
csc 0
tan 0 and
cot 6
Quadrant
I
positive
negative
(b) The mnemonic (memory device) ASTC (all students take calculus) is sometimes used to recall the signs of the
trigonometric values in each quadrant:
A All are positive in Quadrant I.
S Sine is positive in Quadrant II.
T Tangent is positive in Quadrant III.
C Cosine is positive in Quadrant IV.
Quadrant
IV
Check the validity of this mnemonic against your chart in part (a).
O Yes, the mnemonic is valid.
○ No, the mnemonic is not valid.
Transcribed Image Text:(a) Complete the following table, using the words "positive" or "negative" as appropriate. Terminal Side of Angle Lies in Quadrant II Quadrant III cos and sec @ sin 0 and csc 0 tan 0 and cot 6 Quadrant I positive negative (b) The mnemonic (memory device) ASTC (all students take calculus) is sometimes used to recall the signs of the trigonometric values in each quadrant: A All are positive in Quadrant I. S Sine is positive in Quadrant II. T Tangent is positive in Quadrant III. C Cosine is positive in Quadrant IV. Quadrant IV Check the validity of this mnemonic against your chart in part (a). O Yes, the mnemonic is valid. ○ No, the mnemonic is not valid.
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