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

Ask a new question for Free

By Image

Drop file here or Click Here to upload

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