Right Triangle Trig Flashcard

Front

What is a right triangle?

Back

A right triangle is a triangle that has one angle measuring 90 degrees.

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

Define sine (sin) in a right triangle.

Back

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

Front

Define cosine (cos) in a right triangle.

Back

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

Front

Define tangent (tan) in a right triangle.

Back

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

Front

What is the formula to find the length of a side using sine?

Back

The formula is: opposite = hypotenuse × sin(angle).

Front

What is the formula to find the length of a side using cosine?

Back

The formula is: adjacent = hypotenuse × cos(angle).

Front

What is the formula to find the length of a side using tangent?

Back

The formula is: opposite = adjacent × tan(angle).

Front

How do you find the angle using the sine function?

Back

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

Front

How do you find the angle using the cosine function?

Back

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