Multiple Choice
If a right triangle has one angle measuring , what is the measure of the other non-right angle?
2. Trigonometric Functions on Right Triangles
Solving Right Triangles
Multiple Choice
Given a right triangle with an angle and an adjacent side of length , and hypotenuse of length , which equation finds the value of ?
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Verified step by step guidance1
Identify the sides of the right triangle relative to the angle \( \theta \): the adjacent side is \( a \), and the hypotenuse is \( c \).
Recall the definition of the cosine function in a right triangle: \( \cos(\theta) = \frac{\text{adjacent}}{\text{hypotenuse}} \).
Set up the equation using the given sides: \( \cos(\theta) = \frac{a}{c} \).
To find \( \theta \), apply the inverse cosine (arccos) function to both sides: \( \theta = \arccos\left(\frac{a}{c}\right) \).
This equation expresses \( \theta \) in terms of the known side lengths \( a \) and \( c \), allowing you to calculate the angle.
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