Math Problem Statement
Determine all possible values of '∅' that satisfies the following conditions; sin∅ < 0 and sec∅ = -2 , where -2π≤∅≤2π
Solution
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Math Problem Analysis
Mathematical Concepts
Trigonometry
Trigonometric Identities
Unit Circle
Formulas
sec(θ) = 1 / cos(θ)
cos(θ) = -1/2
sin(θ) < 0
Theorems
Trigonometric Periodicity
Quadrant Rule: Sine is negative in the third and fourth quadrants
Reference Angle Theorem
Suitable Grade Level
Grades 9-12
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