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missmerisha
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Homework Statement
State the range
y=inverse tan( 2x)
The Attempt at a Solution
The original range of inverse tan is ( -pi/2, pi/2)
Should tan inverse (2x) have (-pi, pi) as its range?
The inverse tangent function, denoted as arctan(x) or tan-1(x), is the inverse of the tangent function. It calculates the angle whose tangent is equal to a given number.
The inverse tangent function has a range of (-π/2, π/2). This means that the output of the function will always be between -π/2 and π/2, inclusive.
The domain of the inverse tangent function is all real numbers, except for ±π/2. This is because the tangent function is undefined at these values.
The inverse tangent function is the inverse of the tangent function. This means that if we input the output of the tangent function into the inverse tangent function, we will get back the original value.
The inverse tangent function is commonly used in mathematics, physics, and engineering to calculate angles and solve trigonometric equations. It is also used in computer graphics to determine the direction of an object's movement based on its coordinates.