The following are all angle measures (in radians, rounded to the nearest hundredth) whose sine is 0.43 . Which is the principal value of sin^(-1)(0.43) ? Choose 1 answer: (A) -5.84 (B) 0.44 (C) 6.73 (D) 13.01

Find principal value: To find the principal value of sin^(-1)(0.43), we need to calculate the inverse sine (also known as arcsine) of 0.43. The principal value of the inverse sine function is the angle in the range [-π/2, π/2] or [-90°, 90°] that has a sine of 0.43. Calculate inverse sine: Using a calculator or a table, we find the inverse sine of 0.43. Make sure the calculator is set to radians if the answer choices are in radians. Compare with options: After calculating, we find that sin^(-1)(0.43) ≈ 0.44 radians. This is the principal value because it lies within the range [-π/2, π/2]. Now we compare our calculated value with the given options. The closest match to our calculated value of 0.44 radians is option (B) 0.44.

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The following are all angle measures (in radians, rounded to the nearest hundredth) whose sine is 0.43 .
Which is the principal value of
sin^(-1)(0.43) ?
Choose 1 answer:
(A) -5.84
(B) 0.44
(C) 6.73
(D) 13.01

The following are all angle measures (in radians, rounded to the nearest hundredth) whose sine is $0$ . $43$ . $\newline$ Which is the principal value of $\sin ^{-1}(0.43)$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $-5$ . $84$ $\newline$ (B) $0$ . $44$ $\newline$ (C) $6$ . $73$ $\newline$ (D) $\mathbf{1 3 . 0 1}$

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Algebra 2

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Q. The following are all angle measures (in radians, rounded to the nearest hundredth) whose sine is

0

43

\newline

Which is the principal value of

\sin ^{-1}(0.43)

\newline

Choose

1

answer:

\newline

(A)

-5

84

\newline

(B)

0

44

\newline

(C)

6

73

\newline

(D)

\mathbf{1 3 . 0 1}

Find principal value: To find the principal value of $\sin^{-1}(0.43)$ , we need to calculate the inverse sine (also known as arcsine) of $0.43$ . The principal value of the inverse sine function is the angle in the range $[-\pi/2, \pi/2]$ or $[-90°, 90°]$ that has a sine of $0.43$ .
Calculate inverse sine: Using a calculator or a table, we find the inverse sine of $0.43$ . Make sure the calculator is set to radians if the answer choices are in radians.
Compare with options: After calculating, we find that $\sin^{-1}(0.43) \approx 0.44$ radians. This is the principal value because it lies within the range $[-\frac{\pi}{2}, \frac{\pi}{2}]$ .
Compare with options: After calculating, we find that $\sin^{-1}(0.43) \approx 0.44$ radians. This is the principal value because it lies within the range $[-\pi/2, \pi/2]$ . Now we compare our calculated value with the given options. The closest match to our calculated value of $0.44$ radians is option (B) $0.44$ .