Right Triangle/ Trig 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 sine function in relation to a right triangle?

Back

The sine function (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

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

Back

The cosine function (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

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

Back

The tangent function (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

How do you find the length of a side in a right triangle using 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): c² = a² + b².

Front

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

Back

In a right triangle, the side opposite the largest angle is the longest side (the hypotenuse), and the side opposite the smallest angle is the shortest side.

Front

How do you calculate the sine of an angle given the lengths of the sides?

Back

To calculate the sine of an angle, divide the length of the side opposite the angle by the length of the hypotenuse.

Front

How do you calculate the cosine of an angle given the lengths of the sides?

Back

To calculate the cosine of an angle, divide the length of the side adjacent to the angle by the length of the hypotenuse.

Front

How do you calculate the tangent of an angle given the lengths of the sides?

Back

To calculate the tangent of an angle, divide the length of the side opposite the angle by the length of the side adjacent to the angle.

Front

What is the formula to find the missing angle in a right triangle using trigonometric ratios?

Back

To find a missing angle, use the inverse trigonometric functions: angle = sin⁻¹(opposite/hypotenuse), cos⁻¹(adjacent/hypotenuse), or tan⁻¹(opposite/adjacent).