What is sin -1 (7/13)?

Understand the Problem: Understand the problem. We need to find the angle whose sine is 7/13. This is known as the inverse sine function, denoted as sin^-1 or arcsin.Check Domain: Check if the value is within the domain of the sine function. The sine function has a range from -1 to 1, so 7/13 is within this range and it is possible to find an angle with this sine value.Use Calculator: Use a calculator to find the inverse sine of 7/13. Since the value 7/13 is not a common trigonometric result, we will use a calculator to find the angle.Calculate Value: Calculate the value of sin^-1(7/13). Using a calculator, we find that sin^-1(7/13) ≈ 32.471192 (in degrees).

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What is $\sin^{-1} \left(\frac{7}{13}\right)$ ?

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Q. What is

\sin^{-1} \left(\frac{7}{13}\right)

Understand the Problem: Understand the problem. $\newline$ We need to find the angle whose sine is $\frac{7}{13}$ . This is known as the inverse sine function, denoted as $\sin^{-1}$ or $\arcsin$ .
Check Domain: Check if the value is within the domain of the sine function. $\newline$ The sine function has a range from $-1$ to $1$ , so $\frac{7}{13}$ is within this range and it is possible to find an angle with this sine value.
Use Calculator: Use a calculator to find the inverse sine of $\frac{7}{13}$ . Since the value $\frac{7}{13}$ is not a common trigonometric result, we will use a calculator to find the angle.
Calculate Value: Calculate the value of $\sin^{-1}(\frac{7}{13})$ . Using a calculator, we find that $\sin^{-1}(\frac{7}{13}) \approx 32.471192$ (in degrees).