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  • tanx = 5
  • x = tan-1(5) = arctan5
  • x ~ 78.69
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9y ago

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What is is the function which outputs an angle when a tangent value is input?

The function that outputs an angle when a tangent value is input is called the arctangent function, denoted as ( \tan^{-1}(x) ) or ( \text{atan}(x) ). It takes a real number ( x ) (the tangent value) and returns the angle ( \theta ) in radians (or degrees) such that ( \tan(\theta) = x ). The range of the arctangent function is typically from (-\frac{\pi}{2}) to (\frac{\pi}{2}) radians.


What is a tangent ratio?

The tangent is the ratio of sine over cosine; also, in a unit circle, Y over X.


Sketch a Tangent Functions?

A tangent function is a trigonometric function that describes the ratio of the side opposite a given angle in a right triangle to the side adjacent to that angle. In other words, it describes the slope of a line tangent to a point on a unit circle. The graph of a tangent function is a periodic wave that oscillates between positive and negative values. To sketch a tangent function, we can start by plotting points on a coordinate plane. The x-axis represents the angle in radians, and the y-axis represents the value of the tangent function. The period of the function is 2π radians, so we can plot points every 2π units on the x-axis. The graph of the tangent function is asymptotic to the x-axis. It oscillates between positive and negative values, crossing the x-axis at π/2 and 3π/2 radians. The graph reaches its maximum value of 1 at π/4 and 7π/4 radians, and its minimum value of -1 at 3π/4 and 5π/4 radians. In summary, the graph of the tangent function is a wave that oscillates between positive and negative values, crossing the x-axis at π/2 and 3π/2 radians, with a period of 2π radians.


How do you work out an angle using trigonometry?

The answer depends on what else you know about the shape.


Sin x degrees equals 4 over 15 what would the value of x be?

x = sin-1 (4/15) ( sin -1 is [SHIFT] [sin] on a calculator ) = 15.5