Which of the following is the value of tan(pi) ? Choose 1 answer: (A) 1 (B) 0 (c) -1 (D) tan(pi) is undefined.

Understanding the Unit Circle: To find the value of tan(pi), we need to understand the unit circle and the definition of the tangent function. The tangent of an angle in the unit circle is the ratio of the y-coordinate to the x-coordinate of the point on the unit circle at that angle, provided the x-coordinate is not zero. For the angle pi, the point on the unit circle is (-1, 0).Calculating tan(pi): Since the tangent function is the ratio of the y-coordinate to the x-coordinate, we calculate tan(pi) as follows: tan(pi) = y/x = 0/(-1) = 0Defining the Tangent Function: We must also remember that the tangent function is defined for all real numbers except for odd multiples of pi/2, where the cosine function is zero and the tangent function is undefined. Since pi is not an odd multiple of pi/2, tan(pi) is defined.Value of tan(pi): Therefore, the value of tan(pi) is 0, which corresponds to choice (B).

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Which of the following is the value of
tan(pi) ?
Choose 1 answer:
(A) 1
(B) 0
(c) -1
(D)
tan(pi) is undefined.

Which of the following is the value of $\tan (\pi)$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $1$ $\newline$ (B) $0$ $\newline$ (C) $-1$ $\newline$ (D) $\tan (\pi)$ is undefined.

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Grade 8

Mean, median, mode, and range: find the missing number

Full solution

Q. Which of the following is the value of

\tan (\pi)

\newline

Choose

1

answer:

\newline

(A)

1

\newline

(B)

0

\newline

(C)

-1

\newline

(D)

\tan (\pi)

is undefined.

Understanding the Unit Circle: To find the value of $\tan(\pi)$ , we need to understand the unit circle and the definition of the tangent function. The tangent of an angle in the unit circle is the ratio of the y-coordinate to the x-coordinate of the point on the unit circle at that angle, provided the x-coordinate is not zero. For the angle $\pi$ , the point on the unit circle is $(-1, 0)$ .
Calculating $\tan(\pi)$ : Since the tangent function is the ratio of the y-coordinate to the x-coordinate, we calculate $\tan(\pi)$ as follows: $\newline$ $\tan(\pi) = \frac{y}{x} = \frac{0}{-1} = 0$
Defining the Tangent Function: We must also remember that the tangent function is defined for all real numbers except for odd multiples of $\frac{\pi}{2}$ , where the cosine function is zero and the tangent function is undefined. Since $\pi$ is not an odd multiple of $\frac{\pi}{2}$ , $\tan(\pi)$ is defined.
Value of $\tan(\pi)$ : Therefore, the value of $\tan(\pi)$ is $0$ , which corresponds to choice (B).