The following are all angle measures, in degrees, whose cosine is -1 . Which is the principal value of arccos(-1) ? Choose 1 answer: (A) -540^(@) (B) -180^(@) (C) 180^(@) (D) 540^(@)

Angle in Trigonometry: The principal value of an angle in trigonometry is the smallest non-negative angle that is coterminal with the given angle. The range of the principal values for arccos(x) is from 0 to 180 degrees.Principal Value of arccos(x): The cosine of 180 degrees is -1. Therefore, the principal value of arccos(-1) is 180 degrees.Verification of Answer: Checking the answer choices, we see that 180 degrees is listed as option (C), which matches our calculation.

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The following are all angle measures, in degrees, whose cosine is -1 .
Which is the principal value of
arccos(-1) ?
Choose 1 answer:
(A)
-540^(@)
(B)
-180^(@)
(C)
180^(@)
(D)
540^(@)

The following are all angle measures, in degrees, whose cosine is $-1$ . $\newline$ Which is the principal value of $\newline$ $\arccos(-1)$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $-540^{\circ}$ $\newline$ (B) $-180^{\circ}$ $\newline$ (C) $180^{\circ}$ $\newline$ (D) $540^{\circ}$

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Q. The following are all angle measures, in degrees, whose cosine is

-1

\newline

Which is the principal value of

\newline

\arccos(-1)

\newline

Choose

1

answer:

\newline

(A)

-540^{\circ}

\newline

(B)

-180^{\circ}

\newline

(C)

180^{\circ}

\newline

(D)

540^{\circ}

Angle in Trigonometry: The principal value of an angle in trigonometry is the smallest non-negative angle that is coterminal with the given angle. The range of the principal values for $\text{arccos}(x)$ is from $0$ to $180$ degrees.
Principal Value of arccos(x): The cosine of $180$ degrees is $-1$ . Therefore, the principal value of $\arccos(-1)$ is $180$ degrees.
Verification of Answer: Checking the answer choices, we see that $180$ degrees is listed as option (C), which matches our calculation.