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It is defined for all real values of x range.
Questions on domain and range of trigonometric functions. Sine function y f x sin x domain. The range of a function is the set of outputs that a function generates given the domain. To make the students to understand domain and range of a trigonometric function we have given a table which clearly says the domain and range of trigonometric functions. T3 7 domain and range of the trigonometric functions a.
The x coordinate on the circle is smallest at 1 0 namely 1. Thex coordinate on the circle is largest at. Sine and cosine x y 1. Cos 2 x 1.
Cos x 1 1 hence for the trigonometric functions f x sin x and f x cos x the domain will consist of the entire set of real numbers as they are defined for all the real numbers. Similarly following the same methodology 1 cos 2 x 0. Domain of sin x and cos x in any right angle triangle we can define the following six trigonometric ratios. Thus dom sin and cos.
Since w is defined for any with cos x and sin y there are no domain restrictions.
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