Trigonometry Flashcard

Front

What is the ASS triangle postulate?

Back

The ASS triangle postulate refers to a situation where two angles and a non-included side are known. It is also known as the 'Angle-Side-Side' condition.

Front

What is the Law of Sines?

Back

The Law of Sines states that in any triangle, the ratio of the length of a side to the sine of its opposite angle is constant. It is used to solve for unknown sides or angles in non-right triangles.

Front

How do you calculate the distance from a ship to a lighthouse using the angle of elevation?

Back

Use the formula: distance = height / tan(angle of elevation). For a 20 m lighthouse and a 12° angle, distance = 20 / tan(12°).

Front

What is the significance of the angle of elevation in trigonometry?

Back

The angle of elevation is the angle formed by the horizontal line and the line of sight to an object above the horizontal. It is used to calculate heights and distances in various applications.

Front

What is the relationship between angles and sides in a triangle?

Back

In a triangle, larger angles are opposite longer sides, and smaller angles are opposite shorter sides. This relationship is fundamental in solving triangles.

Front

What does the term 'intersecting roads' imply in a trigonometric context?

Back

Intersecting roads can form angles that can be analyzed using trigonometric principles to find distances and relationships between points.

Front

What is the formula for finding the distance between two points using trigonometry?

Back

The distance can be found using the Law of Cosines: c² = a² + b² - 2ab*cos(C), where C is the angle between sides a and b.

Front

What is the difference between ASA and AAS triangle postulates?

Back

ASA (Angle-Side-Angle) requires two angles and the included side, while AAS (Angle-Angle-Side) requires two angles and a non-included side.

Front

What is the purpose of using trigonometric ratios?

Back

Trigonometric ratios (sine, cosine, tangent) are used to relate the angles and sides of triangles, allowing for the calculation of unknown lengths and angles.

Front

How can you determine if a triangle is solvable with given information?

Back

Check if the given information meets the criteria of triangle postulates (SSS, SAS, ASA, AAS, SSA) to determine if a unique triangle can be formed.