Math Problem Statement
Sketch the least positive angle theta and find the values of the six trigonometric functions of theta if the terminal side of an angle theta in standard position is defined by negative StartRoot 2 EndRootxplusyequals0, xless than or equals0.
Solution
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Math Problem Analysis
Mathematical Concepts
Trigonometry
Angles in Standard Position
Trigonometric Functions
Formulas
y = sqrt(2)x (line equation)
tan(θ) = slope of the line
r = sqrt(x^2 + y^2) (radius calculation)
sin(θ) = y / r
cos(θ) = x / r
tan(θ) = y / x
csc(θ) = r / y
sec(θ) = r / x
cot(θ) = x / y
Theorems
Trigonometric Function Definitions
Inverse Tangent Function
Suitable Grade Level
Grades 10-12
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