Geometry: Basic Trigonometry Flashcard

Front

What is the sine function in a right triangle?

Back

The sine function (sin) is the ratio of the length of the opposite side to the length of the hypotenuse.

Front

What is the cosine function in a right triangle?

Back

The cosine function (cos) is the ratio of the length of the adjacent side to the length of the hypotenuse.

Front

What is the tangent function in a right triangle?

Back

The tangent function (tan) is the ratio of the length of the opposite side to the length of the adjacent side.

Front

What is the formula to find the sine of an angle?

Back

sin(θ) = opposite/hypotenuse.

Front

What is the formula to find the cosine of an angle?

Back

cos(θ) = adjacent/hypotenuse.

Front

What is the formula to find the tangent of an angle?

Back

tan(θ) = opposite/adjacent.

Front

How do you solve for x using the sine function?

Back

Rearrange the sine equation: x = hypotenuse * sin(θ).

Front

How do you solve for an angle using the sine function?

Back

Use the inverse sine function: θ = sin⁻¹(opposite/hypotenuse).

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 Pythagorean theorem?

Back

In a right triangle, a² + b² = c², where c is the hypotenuse.