Trigonometry

Front

What is the definition of the Sine Ratio?

Back

The Sine Ratio is defined as the ratio of the length of the opposite side to the length of the hypotenuse in a right triangle.

Front

What is the definition of the Cosine Ratio?

Back

The Cosine Ratio is defined as the ratio of the length of the adjacent side to the length of the hypotenuse in a right triangle.

Front

What is the definition of the Tangent Ratio?

Back

The Tangent Ratio is defined as the ratio of the length of the opposite side to the length of the adjacent side in a right triangle.

Front

What is the Pythagorean Theorem?

Back

The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides (a² + b² = c²).

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(angle).

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(angle).

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(angle).

Front

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

Back

In a right triangle, the angles are related to the sides through trigonometric ratios (sine, cosine, tangent).

Front

What is the purpose of using trigonometric ratios?

Back

Trigonometric ratios are used to find unknown side lengths and angle measures in right triangles.

Front

How do you calculate the angle using the Sine Ratio?

Back

To calculate the angle using the Sine Ratio, use the formula: angle = sin⁻¹(opposite/hypotenuse).