The following are all angle measures (in degrees, rounded to the nearest tenth) whose cosine is 0.69 . Which is the principal value of cos^(-1)(0.69) ? Choose 1 answer: (A) -1033.6^(@) (B) -673.6^(@) (c) -313.6^(@) (D) 46.4^(@)

Principal value of inverse cosine function: The principal value of the inverse cosine function, cos^(-1)(x), is the angle in the range [0, π] radians or [0, 180] degrees for which the cosine of the angle equals x. Since we are given the cosine value in decimal form and the answers are in degrees, we will find the principal value in degrees.Finding principal value using calculator: Using a calculator or inverse cosine function, we can find the principal value of cos^(-1)(0.69). Make sure the calculator is set to degree mode since the answers are given in degrees.Calculating principal value: After calculating, we find that cos^(-1)(0.69) ≈ 46.4 degrees. This is the angle whose cosine is 0.69 and lies within the principal range [0, 180] degrees.Comparing calculated value with options: Now we compare our calculated value with the given options. The correct answer must be a positive angle and the smallest angle that has a cosine of 0.69, which is 46.4 degrees.

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The following are all angle measures (in degrees, rounded to the nearest tenth) whose cosine is 0.69 .
Which is the principal value of
cos^(-1)(0.69) ?
Choose 1 answer:
(A)
-1033.6^(@)
(B)
-673.6^(@)
(c)
-313.6^(@)
(D)
46.4^(@)

The following are all angle measures (in degrees, rounded to the nearest tenth) whose cosine is $0$ . $69$ . $\newline$ Which is the principal value of $\cos ^{-1}(0.69)$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $-1033.6^{\circ}$ $\newline$ (B) $-673.6^{\circ}$ $\newline$ (C) $-313.6^{\circ}$ $\newline$ (D) $46.4^{\circ}$

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

0

69

\newline

Which is the principal value of

\cos ^{-1}(0.69)

\newline

Choose

1

answer:

\newline

(A)

-1033.6^{\circ}

\newline

(B)

-673.6^{\circ}

\newline

(C)

-313.6^{\circ}

\newline

(D)

46.4^{\circ}

Principal value of inverse cosine function: The principal value of the inverse cosine function, $\cos^{-1}(x)$ , is the angle in the range $[0, \pi]$ radians or $[0, 180]$ degrees for which the cosine of the angle equals $x$ . Since we are given the cosine value in decimal form and the answers are in degrees, we will find the principal value in degrees.
Finding principal value using calculator: Using a calculator or inverse cosine function, we can find the principal value of $\cos^{-1}(0.69)$ . Make sure the calculator is set to degree mode since the answers are given in degrees.
Calculating principal value: After calculating, we find that $\cos^{-1}(0.69) \approx 46.4$ degrees. This is the angle whose cosine is $0.69$ and lies within the principal range $[0, 180]$ degrees.
Comparing calculated value with options: Now we compare our calculated value with the given options. The correct answer must be a positive angle and the smallest angle that has a cosine of $0.69$ , which is $46.4$ degrees.