Sine, Cosine, Tangent Practice

Front

What is the definition of the sine function?

Back

The sine function (sin) is a trigonometric function that relates the angle of a right triangle to the ratio of the length of the opposite side to the length of the hypotenuse.

Front

What is the definition of the cosine function?

Back

The cosine function (cos) is a trigonometric function that relates the angle of a right triangle to the ratio of the length of the adjacent side to the length of the hypotenuse.

Front

What is the definition of the tangent function?

Back

The tangent function (tan) is a trigonometric function that relates the angle of a right triangle to the ratio of the length of the opposite side to the length of the adjacent side.

Front

What is the relationship between sine, cosine, and tangent?

Back

The relationship is given by the formula: tan(θ) = sin(θ) / cos(θ).

Front

If sin(θ) = 3/5, what is cos(θ)?

Back

Using the Pythagorean identity, cos(θ) = √(1 - sin²(θ)) = √(1 - (3/5)²) = 4/5.

Front

What is the Pythagorean theorem?

Back

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

How do you find the opposite side in a right triangle?

Back

The opposite side can be found using the sine function: sin(θ) = opposite/hypotenuse.

Front

How do you find the adjacent side in a right triangle?

Back

The adjacent side can be found using the cosine function: cos(θ) = adjacent/hypotenuse.

Front

What is the value of tan(45°)?

Back

tan(45°) = 1.

Front

If cos(30°) = √3/2, what is sin(30°)?

Back

sin(30°) = 1/2.