Trig: Missing Sides and Angles

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). Formula: a² + b² = c².

Front

How do you find the length of a missing side in a right triangle?

Back

To find the length of a missing side in a right triangle, use the Pythagorean Theorem. Rearrange the formula to solve for the missing side.

Front

What is the sine function in trigonometry?

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 in trigonometry?

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 in trigonometry?

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 calculate the angle using the sine function?

Back

To calculate 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 calculate the angle using the cosine function?

Back

To calculate 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 calculate the angle using the tangent function?

Back

To calculate 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 the angles and sides in a right triangle?

Back

In a right triangle, the angles are related to the lengths of the sides through trigonometric ratios (sine, cosine, tangent).

Front

What is the purpose of rounding in measurements?

Back

Rounding is used to simplify numbers to make them easier to work with, especially when precision is not critical.