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): c² = a² + b².

Front

What is 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 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 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

How do you find the missing side of a right triangle using sine?

Back

To find the missing side using sine, use the formula: sin(angle) = opposite/hypotenuse. Rearrange to find the opposite side: opposite = hypotenuse * sin(angle).

Front

How do you find the missing side of a right triangle using cosine?

Back

To find the missing side using cosine, use the formula: cos(angle) = adjacent/hypotenuse. Rearrange to find the adjacent side: adjacent = hypotenuse * cos(angle).

Front

How do you find the missing angle using sine?

Back

To find the missing angle using sine, use the inverse sine function: angle = sin⁻¹(opposite/hypotenuse).

Front

How do you find the missing angle using cosine?

Back

To find the missing angle using cosine, use the inverse cosine function: angle = cos⁻¹(adjacent/hypotenuse).

Front

What is the relationship between the angles in a right triangle?

Back

In a right triangle, the sum of the two non-right angles is always 90 degrees.