arcsin arccos table For example from the table of arcsine and arccosine it follows that arcsin 1 2 arccos 1 0
The arcsine reverses the input and output of the sine function so that the arcsine has domain D 1 1 and range R left dfrac pi 2 dfrac pi 2 right The graph of the arcsine is drawn below Arccos x cos 1 x The arcsine function is the inverse function of y sin x arcsin y sin 1 y x 2 k Printable Sine Cosine Tangent Cotangent Arcsin Arccos Arctan Tables Generator Instantly
arcsin arccos table
arcsin arccos table
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For example the inverse function for the sine known as the inverse sine sin 1 or arcsine arcsin or asin satisfies where cos2 means cos 2 and sin2 means sin 2 This can be viewed as a version of the Pythagorean theorem and follows from the equation circle This equation can be solved for either the sine or the cosine Arcsin Arcsine written as arcsin or sin 1 not to be confused with is the inverse sine function Arcsin graph The graph of y arcsin x is shown below The domain of y arcsin x is and its range is One of the properties of inverse functions is that if a point a b is on the graph of f the point b a is on the graph of its inverse
The Inverse Sine Function arcsin We define the inverse sine function as y arcsin x for pi 2 Calculate Arcsine Arccosine Arctangent Arccotangent Arcsecant and Arccosecant for values of x and get answers in degrees ratians and pi Graphs for inverse trigonometric functions
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Solution Since arcsinx is the inverse of the restricted sine function we have sin arcsin x x if x 2 1 1 and arcsin sin x x if x 2 2 2 Therefore Several notations for the inverse trigonometric functions exist The most common convention is to name inverse trigonometric functions using an arc prefix arcsin x arccos x arctan x etc
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