# Find the Range y=cos(2x)-1

Find the Range y=cos(2x)-1
Find the magnitude of the trig term by taking the absolute value of the coefficient.
Find the lower bound of the range.
The lower bound of the range for cosine is found by substituting the negative magnitude of the coefficient into the equation.
Subtract from .
Find the upper bound of the range.
The upper bound of the range for cosine is found by substituting the positive magnitude of the coefficient into the equation.
Subtract from .
The range is .
Interval Notation:
Set-Builder Notation:
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