4.1-4.3 Review

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). Formula: c² = a² + b².

Front

How do you find the length of a missing side in a right triangle?

Back

To find the length of a missing side, use the Pythagorean theorem if two sides are known, or use trigonometric ratios (sine, cosine, tangent) based on the given angles and sides.

Front

What is the sine function in trigonometry?

Back

The sine function relates the angle of a right triangle to the ratio of the length of the opposite side to the length of the hypotenuse. Formula: sin(θ) = opposite/hypotenuse.

Front

What is the cosine function in trigonometry?

Back

The cosine function relates the angle of a right triangle to the ratio of the length of the adjacent side to the length of the hypotenuse. Formula: cos(θ) = adjacent/hypotenuse.

Front

What is the tangent function in trigonometry?

Back

The tangent function relates the angle of a right triangle to the ratio of the length of the opposite side to the length of the adjacent side. Formula: tan(θ) = opposite/adjacent.

Front

If you know the opposite side and hypotenuse, which trig function do you use?

Back

Use the sine function.

Front

If you know the adjacent side and hypotenuse, which trig function do you use?

Back

Use the cosine function.

Front

If you know the opposite side and adjacent side, which trig function do you use?

Back

Use the tangent function.

Front

How do you solve for a missing angle in a right triangle?

Back

Use the inverse trigonometric functions (arcsin, arccos, arctan) based on the known sides.

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.