Question
Use the inverse of cosine to find the approximate measure of the missing angle θ .(1 point)Responses90°90°59.5°59.5°43°43°30.5°
Answers
GPT-4o mini
To find the missing angle \( \theta \) using the inverse cosine function, we typically need information about the sides of a triangle (for example, the lengths of the adjacent side and the hypotenuse). Since you haven't provided specific side lengths or values, I can explain how to use the inverse cosine function.
The inverse cosine function, often written as \( \cos^{-1} \) or \( \arccos \), is used to calculate the angle if the cosine value is known. The formula is:
\[
\theta = \cos^{-1} \left( \frac{\text{Adjacent side}}{\text{Hypotenuse}} \right)
\]
You would substitute the adjacent side and hypotenuse values into this formula to solve for \( \theta \).
If you have specific values, please provide them, and I can help you calculate the angle. Alternatively, if the problem allows for any of the given angles (90°, 59.5°, 43°, or 30.5°) to be the answer without additional context, please clarify that as well.
The inverse cosine function, often written as \( \cos^{-1} \) or \( \arccos \), is used to calculate the angle if the cosine value is known. The formula is:
\[
\theta = \cos^{-1} \left( \frac{\text{Adjacent side}}{\text{Hypotenuse}} \right)
\]
You would substitute the adjacent side and hypotenuse values into this formula to solve for \( \theta \).
If you have specific values, please provide them, and I can help you calculate the angle. Alternatively, if the problem allows for any of the given angles (90°, 59.5°, 43°, or 30.5°) to be the answer without additional context, please clarify that as well.