Trigonometry

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): c² = a² + b².

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

How do you find the angle using the sine function?

Back

To find the angle using the sine function, use the inverse sine function (sin⁻¹) on the ratio of the opposite side to the hypotenuse.

Front

How do you find the angle using the cosine function?

Back

To find the angle using the cosine function, use the inverse cosine function (cos⁻¹) on the ratio of the adjacent side to the hypotenuse.

Front

How do you find the angle using the tangent function?

Back

To find the angle using the tangent function, use the inverse tangent function (tan⁻¹) on the ratio of the opposite side to the adjacent side.

Front

What is the relationship between sine and cosine?

Back

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

Front

What is a reference angle?

Back

A reference angle is the acute angle formed by the terminal side of an angle in standard position and the x-axis.