Math Problem Statement
The angle [\theta_1] is located in Quadrant [\text{II}], and
[\sin(\theta_1)=\dfrac{9}{41}] . What is the value of [\cos(\theta_1)]? Express your answer exactly. [\cos(\theta_1)=]
Solution
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Math Problem Analysis
Mathematical Concepts
Trigonometry
Quadrants
Pythagorean Identity
Formulas
\(\sin^2(\theta) + \cos^2(\theta) = 1\)
Pythagorean identity for sine and cosine
Theorems
Pythagorean Theorem
Sign rules in Quadrants
Suitable Grade Level
Grades 9-12
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