객관식
How many sides does a regular polygon have if each interior angle measures ?
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2. Trigonometric Functions on Right Triangles
Trigonometric Functions on Right Triangles
객관식
Given a right triangle where one of the acute angles is and the lengths of the sides opposite and adjacent to are and respectively, what is the value of in degrees?
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검증된 단계별 안내1
Identify the given information: the side opposite to angle \(x\) is 3, and the side adjacent to angle \(x\) is 4 in a right triangle.
Recall the definition of the tangent function in a right triangle: \(\tan(x) = \frac{\text{opposite}}{\text{adjacent}}\).
Set up the equation using the given side lengths: \(\tan(x) = \frac{3}{4}\).
To find the angle \(x\), take the inverse tangent (arctangent) of both sides: \(x = \tan^{-1}\left(\frac{3}{4}\right)\).
Use a calculator set to degree mode to evaluate \(x = \tan^{-1}\left(\frac{3}{4}\right)\) and find the measure of angle \(x\) in degrees.
