Trigonometry Review

Front

What is the definition of Trigonometry?

Back

Trigonometry is a branch of mathematics that studies the relationships between the angles and sides of triangles, particularly right triangles.

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): a² + b² = c².

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: tan = opposite/adjacent.

Front

What is the relationship between sine and cosine?

Back

The sine and cosine functions are related by the identity: sin²(θ) + cos²(θ) = 1.

Front

How do you find the missing angle in a right triangle?

Back

To find a missing angle in a right triangle, you can use the sine, cosine, or tangent functions, depending on the known sides.

Front

What is the inverse sine function?

Back

The inverse sine function (sin⁻¹ or arcsin) is used to find the angle whose sine is a given value.

Front

What is the inverse cosine function?

Back

The inverse cosine function (cos⁻¹ or arccos) is used to find the angle whose cosine is a given value.

Front

What is the inverse tangent function?

Back

The inverse tangent function (tan⁻¹ or arctan) is used to find the angle whose tangent is a given value.