12/8 FLASHCARD

Front

What is the cosine ratio in a right triangle?

Back

The cosine ratio is defined as the ratio of the length of the adjacent side to the length of the hypotenuse. It is represented as cos(θ) = adjacent/hypotenuse.

Front

How do you find the length of a side using the cosine ratio?

Back

To find the length of a side using the cosine ratio, use the formula: adjacent = hypotenuse * cos(θ).

Front

What is the sine ratio in a right triangle?

Back

The sine ratio is defined as the ratio of the length of the opposite side to the length of the hypotenuse. It is represented as sin(θ) = opposite/hypotenuse.

Front

How do you find the length of a side using the sine ratio?

Back

To find the length of a side using the sine ratio, use the formula: opposite = hypotenuse * sin(θ).

Front

What is the tangent ratio in a right triangle?

Back

The tangent ratio is defined as the ratio of the length of the opposite side to the length of the adjacent side. It is represented as tan(θ) = opposite/adjacent.

Front

How do you find the length of a side using the tangent ratio?

Back

To find the length of a side using the tangent ratio, use the formula: opposite = adjacent * tan(θ).

Front

What is the Pythagorean theorem?

Back

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b). It is expressed as: c² = a² + b².

Front

How do you calculate the missing angle in a right triangle?

Back

To calculate the missing angle in a right triangle, use the inverse trigonometric functions: θ = sin⁻¹(opposite/hypotenuse), θ = cos⁻¹(adjacent/hypotenuse), or θ = tan⁻¹(opposite/adjacent).

Front

What is the relationship between the angles in a triangle?

Back

The sum of the interior angles in any triangle is always 180 degrees.

Front

How do you solve for a missing distance in a right triangle?

Back

To solve for a missing distance, use the appropriate trigonometric ratio (sine, cosine, or tangent) based on the known sides and angles.