Podcast
Questions and Answers
What is the angle of depression?
What is the angle of depression?
The angle formed by a horizontal line and the line of sight to an object below the horizontal line.
What is the angle of elevation?
What is the angle of elevation?
The angle formed by a horizontal line and the line of sight to an object above the horizontal line.
What is cosine?
What is cosine?
The ratio of the adjacent side to the hypotenuse of a right-angled triangle.
What is sine?
What is sine?
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What is tangent?
What is tangent?
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What does solving a triangle involve?
What does solving a triangle involve?
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What is a trigonometric ratio?
What is a trigonometric ratio?
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What is the geometric mean?
What is the geometric mean?
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What is Trigonometry?
What is Trigonometry?
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What is a Pythagorean triple?
What is a Pythagorean triple?
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What is the Law of Sines?
What is the Law of Sines?
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What is the Law of Cosines?
What is the Law of Cosines?
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Study Notes
Angles and Lines of Sight
- Angle of Depression: Formed by a horizontal line and the line of sight to an object below.
- Angle of Elevation: Formed by a horizontal line and the line of sight to an object above.
Trigonometric Functions
- Cosine: Ratio of the length of the adjacent side to the hypotenuse in a right-angled triangle.
- Sine: Ratio of the length of the opposite side to the hypotenuse in a right-angled triangle.
- Tangent: Ratio of the opposite side to the adjacent side in a right-angled triangle.
Triangle Properties
- Solving a Triangle: Involves finding all angles and side lengths of a triangle.
- Trigonometric Ratio: A ratio comparing two sides of a right triangle.
Means and Geometry
- Geometric Mean: Calculated as the n-th root of the product of n numbers.
- Trigonometry: The branch of mathematics focused on the properties and relationships of triangles and trigonometric functions.
Important Theorems
- Pythagorean Triple: A set of three positive integers satisfying the Pythagorean theorem; typically expressed as (a, b, c).
- Law of Sines: Relates the ratios of the sides of a triangle to the sines of its angles: sinA/a = sinB/b = sinC/c.
- Law of Cosines: Provides a formula for calculating a side of a triangle based on the others and the included angle: c² = a² + b² - 2abcosC.
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Description
Test your knowledge of key concepts from Glencoe Geometry Chapter 8 with these flashcards. Learn essential terms like angle of depression, angle of elevation, and cosine, and understand their definitions. Perfect for reviewing and reinforcing your geometry skills.
