Trig Functions

Front

What is the definition of a Trigonometric Function?

Back

A trigonometric function relates the angles of a triangle to the lengths of its sides. The primary functions are sine, cosine, and tangent.

Front

What is the sine function?

Back

The sine function (sin) is defined as the ratio of the length of the opposite side to the length of the hypotenuse in a right triangle.

Front

What is the cosine function?

Back

The cosine function (cos) is defined as the ratio of the length of the adjacent side to the length of the hypotenuse in a right triangle.

Front

What is the tangent function?

Back

The tangent function (tan) is defined as the ratio of the length of the opposite side to the length of the adjacent side in a right triangle.

Front

What is the Pythagorean Theorem?

Back

In a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides: a² + b² = c².

Front

How do you find the length of a side in a right triangle using trigonometric functions?

Back

You can use the sine, cosine, or tangent functions depending on the known angles and sides. For example, if you know an angle and the hypotenuse, use sine or cosine to find the opposite or adjacent side.

Front

What is the range of the sine function?

Back

The range of the sine function is from -1 to 1.

Front

What is the range of the cosine function?

Back

The range of the cosine function is from -1 to 1.

Front

What is the range of the tangent function?

Back

The range of the tangent function is all real numbers.

Front

What is the relationship between sine and cosine?

Back

Sine and cosine are co-functions; sin(θ) = cos(90° - θ) and cos(θ) = sin(90° - θ).