Right Triangle Trig

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

What does 'Soh Cah Toa' represent?

Back

'Soh Cah Toa' is a mnemonic device used to remember the definitions of sine, cosine, and tangent: Soh = Sine = Opposite/Hypotenuse, Cah = Cosine = Adjacent/Hypotenuse, Toa = Tangent = Opposite/Adjacent.

Front

How do you find the sine of an angle if you know the lengths of the opposite side and the hypotenuse?

Back

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

Front

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

Back

In a right triangle, the angles are related to the ratios of the lengths of the sides, which are defined by the trigonometric functions sine, cosine, and tangent.

Front

How can you use trigonometric ratios to find a missing side in a right triangle?

Back

You can use the appropriate trigonometric ratio (sine, cosine, or tangent) based on the known angle and the sides you have to set up an equation and solve for the missing side.

Front

What is the purpose of using trigonometric ratios in real-world applications?

Back

Trigonometric ratios are used in real-world applications to solve problems involving distances, angles, and heights, such as in navigation, architecture, and physics.