The Measure Of Angle BAC Can Be Calculated Using The Equation $\sin^{-1}\left(\frac{3.1}{4.5}\right) = X$. (Not Drawn To Scale)What Is The Measure Of Angle BAC? Round To The Nearest Whole Degree.A. $0^{\circ}$ B. $1^{\circ}$

Introduction

In trigonometry, the measure of an angle can be calculated using various equations and formulas. One such equation is the inverse sine function, denoted as $\sin^{-1}x$. This function returns the angle whose sine is equal to a given value. In this article, we will explore how to calculate the measure of angle BAC using the equation $\sin^{-1}\left(\frac{3.1}{4.5}\right) = x$.

Understanding the Inverse Sine Function

The inverse sine function, denoted as $\sin^{-1}x$, is a mathematical function that returns the angle whose sine is equal to a given value. The sine function is a trigonometric function that relates the ratio of the opposite side to the hypotenuse of a right-angled triangle. The inverse sine function is the inverse of the sine function, meaning that it returns the angle whose sine is equal to a given value.

Calculating the Measure of Angle BAC

To calculate the measure of angle BAC, we need to use the equation $\sin^{-1}\left(\frac{3.1}{4.5}\right) = x$. This equation states that the sine of angle BAC is equal to the ratio of 3.1 to 4.5. To calculate the measure of angle BAC, we need to find the inverse sine of this ratio.

Using a Calculator to Find the Inverse Sine

To find the inverse sine of a value, we can use a calculator. Most calculators have an inverse sine button, denoted as $\sin^{-1}$. We can enter the value of $\frac{3.1}{4.5}$ into the calculator and press the inverse sine button to find the measure of angle BAC.

Rounding to the Nearest Whole Degree

Once we have found the measure of angle BAC, we need to round it to the nearest whole degree. This means that we need to round the decimal value of the angle to the nearest whole number.

Calculating the Measure of Angle BAC

Using a calculator, we can find the inverse sine of $\frac{3.1}{4.5}$.

$\sin^{-1}\left(\frac{3.1}{4.5}\right) = 16.699$

Rounding this value to the nearest whole degree, we get:

$16.699 \approx 17^{\circ}$

Therefore, the measure of angle BAC is approximately $17^{\circ}$.

Conclusion

In this article, we have explored how to calculate the measure of angle BAC using the equation $\sin^{-1}\left(\frac{3.1}{4.5}\right) = x$. We have used the inverse sine function to find the measure of angle BAC and rounded it to the nearest whole degree. The measure of angle BAC is approximately $17^{\circ}$.

Frequently Asked Questions

Q: What is the inverse sine function?

A: The inverse sine function is a mathematical function that returns the angle whose sine is equal to a given value.

Q: How do I calculate the measure of angle BAC using the inverse sine function?

A: To calculate the measure of angle BAC using the inverse sine function, you need to use the equation $\sin^{-1}\left(\frac{3.1}{4.5}\right) = x$.

Q: How do I round the measure of angle BAC to the nearest whole degree?

A: To round the measure of angle BAC to the nearest whole degree, you need to round the decimal value of the angle to the nearest whole number.

Q: What is the measure of angle BAC?

A: The measure of angle BAC is approximately $17^{\circ}$.

References

• [1] "Trigonometry" by Michael Corral, 2019.
• [2] "Inverse Sine Function" by Math Open Reference, 2020.
• [3] "Rounding Numbers" by Khan Academy, 2020.
  The Measure of Angle BAC: A Q&A Article =====================================================

Introduction

In our previous article, we explored how to calculate the measure of angle BAC using the equation $\sin^{-1}\left(\frac{3.1}{4.5}\right) = x$. We also discussed the inverse sine function and how to round the measure of angle BAC to the nearest whole degree. In this article, we will answer some frequently asked questions related to the measure of angle BAC.

Q&A

Q: What is the inverse sine function?

A: The inverse sine function is a mathematical function that returns the angle whose sine is equal to a given value. It is denoted as $\sin^{-1}x$ and is the inverse of the sine function.

Q: How do I calculate the measure of angle BAC using the inverse sine function?

A: To calculate the measure of angle BAC using the inverse sine function, you need to use the equation $\sin^{-1}\left(\frac{3.1}{4.5}\right) = x$. This equation states that the sine of angle BAC is equal to the ratio of 3.1 to 4.5.

Q: How do I round the measure of angle BAC to the nearest whole degree?

A: To round the measure of angle BAC to the nearest whole degree, you need to round the decimal value of the angle to the nearest whole number. For example, if the measure of angle BAC is 16.699, you would round it to 17.

Q: What is the measure of angle BAC?

A: The measure of angle BAC is approximately $17^{\circ}$.

Q: Can I use a calculator to find the inverse sine of a value?

A: Yes, you can use a calculator to find the inverse sine of a value. Most calculators have an inverse sine button, denoted as $\sin^{-1}$. You can enter the value of $\frac{3.1}{4.5}$ into the calculator and press the inverse sine button to find the measure of angle BAC.

Q: What is the difference between the sine function and the inverse sine function?

A: The sine function returns the ratio of the opposite side to the hypotenuse of a right-angled triangle, while the inverse sine function returns the angle whose sine is equal to a given value.

Q: Can I use the inverse sine function to find the measure of any angle?

A: Yes, you can use the inverse sine function to find the measure of any angle, as long as the sine of the angle is known.

Q: How do I use the inverse sine function to find the measure of an angle in a triangle?

A: To use the inverse sine function to find the measure of an angle in a triangle, you need to know the lengths of the sides of the triangle and the sine of the angle. You can then use the equation $\sin^{-1}\left(\frac{opposite}{hypotenuse}\right) = x$ to find the measure of the angle.

Conclusion

In this article, we have answered some frequently asked questions related to the measure of angle BAC. We have discussed the inverse sine function, how to calculate the measure of angle BAC using the inverse sine function, and how to round the measure of angle BAC to the nearest whole degree. We hope that this article has been helpful in answering your questions.

Frequently Asked Questions

Q: What is the inverse sine function?

A: The inverse sine function is a mathematical function that returns the angle whose sine is equal to a given value.

Q: How do I calculate the measure of angle BAC using the inverse sine function?

A: To calculate the measure of angle BAC using the inverse sine function, you need to use the equation $\sin^{-1}\left(\frac{3.1}{4.5}\right) = x$.

Q: How do I round the measure of angle BAC to the nearest whole degree?

A: To round the measure of angle BAC to the nearest whole degree, you need to round the decimal value of the angle to the nearest whole number.

Q: What is the measure of angle BAC?

A: The measure of angle BAC is approximately $17^{\circ}$.

References

• [1] "Trigonometry" by Michael Corral, 2019.
• [2] "Inverse Sine Function" by Math Open Reference, 2020.
• [3] "Rounding Numbers" by Khan Academy, 2020.