Which of the following statements is true about the angle formed by two perpendicular lines in a right triangle?
Table of contents
- 0. Review of College Algebra4h 45m
- 1. Measuring Angles40m
- 2. Trigonometric Functions on Right Triangles2h 5m
- 3. Unit Circle1h 19m
- 4. Graphing Trigonometric Functions1h 19m
- 5. Inverse Trigonometric Functions and Basic Trigonometric Equations1h 41m
- 6. Trigonometric Identities and More Equations2h 34m
- 7. Non-Right Triangles1h 38m
- 8. Vectors2h 25m
- 9. Polar Equations2h 5m
- 10. Parametric Equations1h 6m
- 11. Graphing Complex Numbers1h 7m
2. Trigonometric Functions on Right Triangles
Trigonometric Functions on Right Triangles
Multiple Choice
In right triangle , if = , what is the length of the side adjacent to angle if the hypotenuse is ?
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Verified step by step guidance1
Recall the definition of cosine in a right triangle: \(\cos(\theta) = \frac{\text{adjacent side}}{\text{hypotenuse}}\).
Identify the given values: \(\cos(K) = \frac{24}{51}\) and the hypotenuse length is 51.
Set up the equation using the cosine definition: \(\cos(K) = \frac{\text{adjacent side}}{51} = \frac{24}{51}\).
To find the length of the side adjacent to angle \(K\), multiply both sides of the equation by 51: \(\text{adjacent side} = 51 \times \frac{24}{51}\).
Simplify the expression to find the length of the adjacent side.
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