Trigonometry: Finding Missing Sides

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). Formula: c² = a² + b².

Front

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

Back

Use the Pythagorean Theorem: c² = a² + b², where c is the hypotenuse and a and b are the other two sides.

Front

What is the sine function in trigonometry?

Back

The sine of an angle in a right triangle is the ratio of the length of the opposite side to the length of the hypotenuse. Formula: sin(θ) = opposite/hypotenuse.

Front

What is the cosine function in trigonometry?

Back

The cosine of an angle in a right triangle is the ratio of the length of the adjacent side to the length of the hypotenuse. Formula: cos(θ) = adjacent/hypotenuse.

Front

What is the tangent function in trigonometry?

Back

The tangent of an angle in a right triangle is the ratio of the length of the opposite side to the length of the adjacent side. Formula: tan(θ) = opposite/adjacent.

Front

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

Back

To find the length of a side using sine, rearrange the sine formula: opposite = hypotenuse * sin(θ).

Front

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

Back

To find the length of a side using cosine, rearrange the cosine formula: adjacent = hypotenuse * cos(θ).

Front

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

Back

To find the length of a side using tangent, rearrange the tangent formula: opposite = adjacent * tan(θ).

Front

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

Back

The angles in a right triangle are related to the ratios of the lengths of the sides, which can be expressed using sine, cosine, and tangent functions.

Front

What is the purpose of rounding in trigonometric calculations?

Back

Rounding is used to simplify answers to a specified number of decimal places for clarity and precision.