unit circle of cosec- x.
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Using the unit circle, the sine of an angle t equals the y-value of the endpoint on the unit circle of an arc of length t whereas the cosine of an angle t equals the x-value of the endpoint. The sine and cosine values are most directly determined when the corresponding point on the unit circle falls on an axis.
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The cosecant function is the reciprocal of the sine function (cscx=1sinx) x = 1 sin . It can be found for an angle t by using the y -coordinate of the associated point on the unit circle: csct=1y t = 1 y . The cotangent function is the reciprocal of the tangent function (cotx=1tanx=costsint) x = 1 tan .
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