Right Triangles Trig (angles) FLASHCARD

Front

What is the definition of 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

What is the sine function in relation to a right triangle?

Back

The sine of an angle in a right triangle is the ratio of the length of the opposite side to the length of the hypotenuse.

Front

What is the cosine function in relation to a right triangle?

Back

The cosine of an angle in a right triangle is the ratio of the length of the adjacent side to the length of the hypotenuse.

Front

What is the tangent function in relation to a right triangle?

Back

The tangent 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

If sin(X) = opposite/hypotenuse, what is the opposite side if sin(30°) = 1/2 and hypotenuse = 10?

Back

The opposite side = sin(30°) * hypotenuse = (1/2) * 10 = 5.

Front

If cos(X) = adjacent/hypotenuse, what is the adjacent side if cos(60°) = 1/2 and hypotenuse = 8?

Back

The adjacent side = cos(60°) * hypotenuse = (1/2) * 8 = 4.

Front

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

Back

The sum of the angles in a right triangle is always 180 degrees, with one angle being 90 degrees.

Front

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

Back

tan(X) = opposite/adjacent, so opposite = tan(X) * adjacent.

Front

What is the value of sin(90°)?

Back

sin(90°) = 1.