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Free Online Inverse Cosine Calculator works in degrees or radians, plus draws triangle.
Inverse cosine is used to determine the measure of angle using the value of the trigonometric ratio cos x. In this article, we will understand the formulas of the inverse cosine function, its domain and range, and hence, its graph. We will also determine the derivative and integral of cos inverse x to understand its properties better.
Specifically, they are the inverses of the sine, cosine, tangent, cotangent, secant, and cosecant functions, [4] and are used to obtain an angle from any of the angle's trigonometric ratios. Inverse trigonometric functions are widely used in engineering, navigation, physics, and geometry.
The inverse cosine is the multivalued function cos^(-1)z (Zwillinger 1995, p. 465), also denoted arccosz (Abramowitz and Stegun 1972, p. 79; Harris and Stocker 1998, p. 307; Jeffrey 2000, p. 124), that is the inverse function of the cosine.
Inverse Sine, Cosine, Tangent. Quick Answer: For a right-angled triangle: The sine function sin takes angle θ and gives the ratio opposite hypotenuse. The inverse sine function sin-1 takes the ratio opposite hypotenuse and gives angle θ. And cosine and tangent follow a similar idea. Example (lengths are only to one decimal place):
Intro to inverse trig functions. Solve for an angle in right triangles.
The inverse cosine function \(y={\cos}^{−1}x\) means \(x=\cos\space y\). The inverse cosine function is sometimes called the arccosine function, and notated \(\arccos\space x\). \(y={\cos}^{−1}x\) has domain \([−1,1]\) and range \([0,π]\)
Learn inverse cosine function with the help of its definition, formula and properties. Arccosine explained here at BYJU'S with solved examples. Learn graphical representation of inverse cosine.
The cos inverse calculator will help you deal with problems that require inverting the cosine function. It can't be any simpler: give us a number (between -1 and 1!), and we'll evaluate the cos inverse of this value.
The inverse cosine function \(y=\cos^{-1} x \) (sometimes called the arc cosine and denoted by \(y=\arccos\;x\)) can be determined in a similar fashion. The function \(y=\cos\;x \) is one-to-one over the interval \([0,\pi] \), as we see in the graph below: