The following are all angle measures (in degrees, rounded to the nearest tenth) whose cosine is 0.10 . Which is the principal value of arccos(0.10) ? Choose 1 answer: (A) -635.7^(@) (B) -275.7^(@) (c) 84.3^(@) (D) 444.3^(@)

Define Range: The principal value of an inverse trigonometric function is the value in the range of the function where it is defined. For arccosine, the range is 0 to 180 degrees (or 0 to π radians). We need to find the angle whose cosine is 0.10 and that lies within this range.Calculate Principal Value: Using a calculator or inverse cosine function, we can find the principal value of arccos(0.10). Make sure the calculator is set to degree mode since the answers are given in degrees.Check Options: After calculating, we find that arccos(0.10) is approximately 84.3 degrees.Select Correct Option: Now we need to check the given options to see which one matches the principal value we found. The principal value should be a positive angle between 0 and 180 degrees.Option (A) -635.7 degrees and option (B) -275.7 degrees are both negative and therefore cannot be principal values. Option (D) 444.3 degrees is outside the range of 0 to 180 degrees. The only option that fits the range for a principal value is option (C) 84.3 degrees.

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The following are all angle measures (in degrees, rounded to the nearest tenth) whose cosine is 0.10 .
Which is the principal value of
arccos(0.10) ?
Choose 1 answer:
(A)
-635.7^(@)
(B)
-275.7^(@)
(c)
84.3^(@)
(D)
444.3^(@)

The following are all angle measures (in degrees, rounded to the nearest tenth) whose cosine is $0$ . $10$ . $\newline$ Which is the principal value of $\arccos (0.10)$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $-635.7^{\circ}$ $\newline$ (B) $-275.7^{\circ}$ $\newline$ (C) $84.3^{\circ}$ $\newline$ (D) $444.3^{\circ}$

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Q. The following are all angle measures (in degrees, rounded to the nearest tenth) whose cosine is

0

10

\newline

Which is the principal value of

\arccos (0.10)

\newline

Choose

1

answer:

\newline

(A)

-635.7^{\circ}

\newline

(B)

-275.7^{\circ}

\newline

(C)

84.3^{\circ}

\newline

(D)

444.3^{\circ}

Define Range: The principal value of an inverse trigonometric function is the value in the range of the function where it is defined. For arccosine, the range is $0$ to $180$ degrees (or $0$ to $\pi$ radians). We need to find the angle whose cosine is $0.10$ and that lies within this range.
Calculate Principal Value: Using a calculator or inverse cosine function, we can find the principal value of $\arccos(0.10)$ . Make sure the calculator is set to degree mode since the answers are given in degrees.
Check Options: After calculating, we find that $\arccos(0.10)$ is approximately $84.3$ degrees.
Select Correct Option: Now we need to check the given options to see which one matches the principal value we found. The principal value should be a positive angle between $0$ and $180$ degrees.
Select Correct Option: Now we need to check the given options to see which one matches the principal value we found. The principal value should be a positive angle between $0$ and $180$ degrees.Option (A) $-635.7$ degrees and option (B) $-275.7$ degrees are both negative and therefore cannot be principal values. Option (D) $444.3$ degrees is outside the range of $0$ to $180$ degrees. The only option that fits the range for a principal value is option (C) $84.3$ degrees.