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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 \(\left[−\frac{\pi}{2},\frac{\pi}{2}\right]\)
The formula for arcsin of sin is given by, arcsin (sin x) = x, if x is in [–π/2, π/2]. Arcsin is the inverse trigonometric function of the sine function. It gives the measure of the angle for the corresponding value of the sine function. Arcsin is defined as arcsin: [-1, 1] → [–π/2, π/2].
Inverse trig functions are inverses of the 6 basic trigonometric functions. Learn about the different inverse trigonometric functions formulas, graphs, and advanced formulas. Also, check out the solved examples and FAQs.
The Inverse Sine Function (arcsin) We define the inverse sine function as `y=arcsin\ x` for `-pi/2<=y<=pi/2` where y is the angle whose sine is x. This means that `x = sin y` The graph of y = arcsin x. Let's see the graph of y = sin x first and then derive the curve of y = arcsin x.
4 kwi 2018 · The Corbettmaths Practice Questions on Trig Graphs. ... Videos and Worksheets; Primary; 5-a-day. 5-a-day GCSE 9-1; 5-a-day Primary; 5-a-day Further Maths; ... Click here for Questions. Click here for Answers. Trig, Sin, Sine, Cos, Cosine, Tan, Tangent. Practice Questions. Previous: Transformation of Graphs Practice Questions. Next: Drawing ...
Revision notes on 3.12.1 Trigonometric Graphs for the CIE IGCSE Maths: Extended syllabus, written by the Maths experts at Save My Exams.
The sine, cosine and tangent of an angle are all defined in terms of trigonometry, but they can also be expressed as functions. In this unit we examine these functions and their graphs. We also see how to restrict the domain of each function in order to define an inverse function.
