Math Problem Statement
Find theta given that sin(theta)=-.3813, tan(theta)>0, and 0<=theta<2pi. Round your answers to three decimal places.
Solution
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Math Problem Analysis
Mathematical Concepts
Trigonometry
Unit Circle
Reference Angle
Quadrants
Formulas
sin(θ) = opposite/hypotenuse
tan(θ) = sin(θ)/cos(θ)
θ = π + θ_ref in the third quadrant
θ_ref = arcsin(|sin(θ)|)
Theorems
Sine and Tangent Properties in Different Quadrants
Reference Angle Theorem
Suitable Grade Level
Grades 10-12