Right Triangle Trig Flashcard

Front

What is the definition of sine in a right triangle?

Back

Sine (sin) of an angle is the ratio of the length of the opposite side to the length of the hypotenuse.

Front

What is the definition of cosine in a right triangle?

Back

Cosine (cos) of an angle is the ratio of the length of the adjacent side to the length of the hypotenuse.

Front

What is the definition of tangent in a right triangle?

Back

Tangent (tan) of an angle is the ratio of the length of the opposite side to the length of the adjacent side.

Front

How do you find the length of a side in a right triangle using sine?

Back

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

Front

How do you find the length of a side in a right triangle using cosine?

Back

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

Front

How do you find the length of a side in a right triangle using tangent?

Back

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

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 calculate the angle using sine?

Back

To calculate the angle using sine, use the inverse sine function: angle = sin⁻¹(opposite/hypotenuse).

Front

How do you calculate the angle using cosine?

Back

To calculate the angle using cosine, use the inverse cosine function: angle = cos⁻¹(adjacent/hypotenuse).

Front

How do you calculate the angle using tangent?

Back

To calculate the angle using tangent, use the inverse tangent function: angle = tan⁻¹(opposite/adjacent).