Find the exact values of sinalpha ,cosalpha ,tanalpha ,cscalpha ,secalpha and cotalpha where it is an angle in standard position whose terminal side contains the point (-1,0) Find sinalpha Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. sinalpha =0 (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) sinalpha is undefined Find cosalpha Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. cosalpha =square (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression ) B. cosalpha is undefined

To find the exact values of the trigonometric functions for the angle $\alpha$ whose terminal side contains the point $(-1,0)$, we can use the definitions of the trigonometric functions in terms of the coordinates of a point on the terminal side of the angle.<br /><br />Given that the point is $(-1,0)$, we can see that the x-coordinate is $-1$ and the y-coordinate is $0$. This means that the angle $\alpha$ is located in the negative x-axis direction.<br /><br />Now, let's find the values of the trigonometric functions:<br /><br />1. $\sin(\alpha)$:<br /> The sine function is defined as the ratio of the y-coordinate to the hypotenuse. In this case, the y-coordinate is $0$, so $\sin(\alpha) = 0$.<br /><br />2. $\cos(\alpha)$:<br /> The cosine function is defined as the ratio of the x-coordinate to the hypotenuse. In this case, the x-coordinate is $-1$, so $\cos(\alpha) = -1$.<br /><br />3. $\tan(\alpha)$:<br /> The tangent function is defined as the ratio of the sine to the cosine. Since $\sin(\alpha) = 0$ and $\cos(\alpha) = -1$, $\tan(\alpha) = \frac{0}{-1} = 0$.<br /><br />4. $\csc(\alpha)$:<br /> The cosecant function is defined as the reciprocal of the sine. Since $\sin(\alpha) = 0$, $\csc(\alpha)$ is undefined.<br /><br />5. $\sec(\alpha)$:<br /> The secant function is defined as the reciprocal of the cosine. Since $\cos(\alpha) = -1$, $\sec(\alpha) = \frac{1}{-1} = -1$.<br /><br />6. $\cot(\alpha)$:<br /> The cotangent function is defined as the reciprocal of the tangent. Since $\tan(\alpha) = 0$, $\cot(\alpha)$ is undefined.<br /><br />Therefore, the exact values of the trigonometric functions for the angle $\alpha$ are:<br />- $\sin(\alpha) = 0$<br />- $\cos(\alpha) = -1$<br />- $\tan(\alpha) = 0$<br />- $\csc(\alpha)$ is undefined<br />- $\sec(\alpha) = -1$<br />- $\cot(\alpha)$ is undefined