Right Triangle Trigonometry

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): c² = a² + b².

Front

What is the ratio for Sine in a right triangle?

Back

Sine is defined as the ratio of the length of the opposite leg to the length of the hypotenuse: Sine = Opposite Leg / Hypotenuse.

Front

What is the ratio for Cosine in a right triangle?

Back

Cosine is defined as the ratio of the length of the adjacent leg to the length of the hypotenuse: Cosine = Adjacent Leg / Hypotenuse.

Front

What is the ratio for Tangent in a right triangle?

Back

Tangent is defined as the ratio of the length of the opposite leg to the length of the adjacent leg: Tangent = Opposite Leg / Adjacent Leg.

Front

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

Back

To find the length of a side, rearrange the Pythagorean Theorem: a = √(c² - b²) or b = √(c² - a²).

Front

What is the purpose of inverse trigonometric functions?

Back

Inverse trigonometric functions are used to find angles when the lengths of the sides of a triangle are known.

Front

What is the value of tan(45°)?

Back

The value of tan(45°) is 1.

Front

What is the value of sin(30°)?

Back

The value of sin(30°) is 1/2.

Front

What is the value of cos(60°)?

Back

The value of cos(60°) is 1/2.