The doman can extend from negative infinioty to positive infinity. Its range is from (+)1 to (-)1.
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It is trigonometry.
Trigonometry is essential to the study of higher mathematics (calculus) and to the understanding of many scientific and engineering principles. Trigonometry and calculus can be used to model many shapes, motions, and functions in daily life.
Calculus is the study of instantaneous and cumulitive growths of functions with respect to two or more variables. Trigonometry is the study of angles, specifically in triangles.
The basic circular functions are sine, cosine and tangent. Then there are their reciprocals and inverses.
The range of -sin x depends on the domain of x. If the domain of x is unrestricted then the range of y is [-1, 1].