If cos t = -1/3, and t is in the 3rd quadrant, find sin t, sec t, csc t, tan t, cot t. (Please explain how the reciprocal works I don’t understand if you have to find inverse of each value to then find the reciprocal..)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.2: Trigonometric Functions Of Angles
Problem 21E
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If cos t = -1/3, and t is in the 3rd quadrant, find sin t, sec t, csc t, tan t, cot t. (Please explain how the reciprocal works I don’t understand if you have to find inverse of each value to then find the reciprocal..)
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