Finding Sides and Angles using Trigonometry

Front

What is Trigonometry?

Back

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

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): 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.

Front

How do you find the length of a side using sine?

Back

To find the length of a side using sine, use the formula: opposite = hypotenuse × sin(angle).

Front

How do you find the length of a side using cosine?

Back

To find the length of a side using cosine, use the formula: adjacent = hypotenuse × cos(angle).

Front

How do you find the length of a side using tangent?

Back

To find the length of a side using tangent, use the formula: opposite = adjacent × tan(angle).

Front

What is the inverse sine function?

Back

The inverse sine function (sin⁻¹) is used to find the angle when the length of the opposite side and hypotenuse are known.

Front

What is the inverse cosine function?

Back

The inverse cosine function (cos⁻¹) is used to find the angle when the length of the adjacent side and hypotenuse are known.