inverse sine function The inverse sine function sin 1 takes the ratio opposite hypotenuse and gives angle And cosine and tangent follow a similar idea Example lengths are only to one decimal place sin 35 Opposite Hypotenuse 2 8 4 9
Specifically they are the inverses of the sine cosine tangent cotangent secant and cosecant functions 10 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 sine function is the inverse of the sine function and thus it is one of the inverse trigonometric functions It is also known as arcsin function which is pronounced as arc sin It is mathematically written as asin x or sin 1 x or arcsin x We read sin 1 x as sin inverse of x
inverse sine function
inverse sine function
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PPT Inverse Trigonometric Functions PowerPoint Presentation Free
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Inverse Sine Arcsine Function Definition Examples
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Inverse sine sin 1 does the opposite of the sine Inverse cosine cos 1 does the opposite of the cosine Inverse tangent tan 1 does the opposite of the tangent In general if you know the trig ratio but not the angle you can use the corresponding inverse trig function to find the angle The inverse sine function y sin 1 x means x sin space y The inverse sine function is sometimes called the arcsine function and notated arcsin space x y sin 1 x has domain 1 1 and range left frac pi 2 frac pi 2 right
Introduction The inverse sine function is one of the inverse trigonometric functions which determines the inverse of the sine function and is denoted as sin 1 or Arcsine For example If the value of sine 90 degree is 1 then the value of inverse sin 1 or sin 1 1 will be equal to 90 Learn how to find the inverse of the sine function and solve for the angle of a right triangle in this video tutorial from Khan Academy
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The inverse sine function sin 1 x is also called the arcsine function and denoted by arcsin x This terminology reminds us that the output of the inverse sine function is an angle or the arc on a unit circle determined by that angle as MathWorld The inverse sine is the multivalued function sin 1 z Zwillinger 1995 p 465 also denoted arcsinz Abramowitz and Stegun 1972 p 79 Harris and Stocker 1998 p 307 Jeffrey 2000 p 124 that is the inverse function of the sine The variants Arcsinz e g Bronshtein and Semendyayev 1997 p
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Inverse Sine Arcsine Function Definition Examples
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