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Wh what is sin⁡−1(713)\sin^{-1} \left(\frac{7}{13}\right)

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Absolute value of rational numbersright chevron icon

Full solution

Q. Wh what is sin⁡−1(713)\sin^{-1} \left(\frac{7}{13}\right)
  1. Understand the Problem: Understand the problem.\newlineWe need to find the angle whose sine is 713\frac{7}{13}. This is known as the inverse sine function, denoted as sin⁡−1\sin^{-1} or arcsin⁡\arcsin.
  2. Check Domain: Check if the value is within the domain of the sine function.\newlineThe sine function has a range from −1-1 to 11, so 713\frac{7}{13} is within this range and it is possible to find an angle with this sine value.
  3. Use Calculator: Use a calculator to find the inverse sine of 713\frac{7}{13}. Since the value 713\frac{7}{13} is not a common trigonometric result, we will use a calculator to find the angle.
  4. Calculate Value: Calculate the value of sin⁡−1(713)\sin^{-1}(\frac{7}{13}). Using a calculator, we find that sin⁡−1(713)≈32.471192\sin^{-1}(\frac{7}{13}) \approx 32.471192 (in degrees).

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