| 单词 | cosecant |
| 例句 | Then, we can find the other trigonometric functions easily because we know that the reciprocal of sine is cosecant, the reciprocal of cosine is secant, and the reciprocal of tangent is cotangent. Precalculus 2021-12-01T00:00:00Z The sine, cosine, secant, and cosecant functions have a period of 2π. Calculus, Volume 1 2016-03-30T00:00:00Z The secant, cotangent, and cosecant are all reciprocals of other functions. Algebra and Trigonometry 2015-02-13T00:00:00Z Seated at the same table as herself was a skilful sailor, using logarithms, secants and cosecants, polar distances and hour angles, as if he were in some university class-room. The Captain of the Kansas Where the graph of the sine function increases, the graph of the cosecant function decreases. Algebra and Trigonometry 2015-02-13T00:00:00Z The cosecant graph has vertical asymptotes at each value of where the sine graph crosses the x-axis; we show these in the graph below with dashed vertical lines. Algebra and Trigonometry 2015-02-13T00:00:00Z Note that, since sine is an odd function, the cosecant function is also an odd function. Algebra and Trigonometry 2015-02-13T00:00:00Z The secant is the reciprocal of the cosine function, the cotangent is the reciprocal of the tangent function, and the cosecant is the reciprocal of the sine function. Algebra and Trigonometry 2015-02-13T00:00:00Z That is, The graph of cosecant, which is shown in Figure 7, is similar to the graph of secant. Algebra and Trigonometry 2015-02-13T00:00:00Z The procedure for secant is very similar, because the cofunction identity means that the secant graph is the same as the cosecant graph shifted half a period to the left. Algebra and Trigonometry 2015-02-13T00:00:00Z In quadrant II, “Smart,” only sine and its reciprocal function, cosecant, are positive. Algebra and Trigonometry 2015-02-13T00:00:00Z For the four trigonometric functions, sine, cosine, cosecant and secant, a revolution of one circle, or will result in the same outputs for these functions. Algebra and Trigonometry 2015-02-13T00:00:00Z Cosine and secant are even; sine, tangent, cosecant, and cotangent are odd. Algebra and Trigonometry 2015-02-13T00:00:00Z Where the graph of the sine function decreases, the graph of the cosecant function increases. Algebra and Trigonometry 2015-02-13T00:00:00Z Figure 7 The graph of the cosecant function, Algebra and Trigonometry 2015-02-13T00:00:00Z Vertical and phase shifts may be applied to the cosecant function in the same way as for the secant and other functions.The equations become the following. Algebra and Trigonometry 2015-02-13T00:00:00Z Use the reciprocal relationship of the cosine and secant functions to draw the cosecant function. Algebra and Trigonometry 2015-02-13T00:00:00Z Since the sine is never more than 1 in absolute value, the cosecant, being the reciprocal, will never be less than 1 in absolute value. Algebra and Trigonometry 2015-02-13T00:00:00Z Use the reciprocal relationship of the sine and cosecant functions to draw the cosecant function. Algebra and Trigonometry 2015-02-13T00:00:00Z Notice how the graph of the transformed cosecant relates to the graph of shown as the orange dashed wave. Algebra and Trigonometry 2015-02-13T00:00:00Z The secant and cosecant are both periodic functions with a period of gives a shifted, compressed, and/or stretched secant function graph. Algebra and Trigonometry 2015-02-13T00:00:00Z The cosecant function is the reciprocal of the sine function, which means that the cosecant of a negative angle will be interpreted as The cosecant function is therefore odd. Algebra and Trigonometry 2015-02-13T00:00:00Z |
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