Right Triangle Trigonometry

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.

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.

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.

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): a² + b² = c².

Front

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

Back

To find the length of a side using the sine function, use the formula: opposite = hypotenuse × sin(angle).

Front

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

Back

To find the length of a side using the cosine function, use the formula: adjacent = hypotenuse × cos(angle).

Front

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

Back

To find the length of a side using the tangent function, use the formula: opposite = adjacent × tan(angle).

Front

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

Back

The angles in a right triangle are related to the sides through trigonometric ratios: sine, cosine, and tangent.

Front

What is the value of sin(30°)?

Back

The value of sin(30°) is 1/2.

Front

What is the value of cos(60°)?

Back

The value of cos(60°) is 1/2.