8.2 - Trig - Finding Sides

Front

What is the sine function in relation to a right triangle?

Back

The sine function (sin) is defined as the ratio of the length of the opposite side to the length of the hypotenuse.

Front

What is the cosine function in relation to a right triangle?

Back

The cosine function (cos) is defined as the ratio of the length of the adjacent side to the length of the hypotenuse.

Front

What is the tangent function in relation to a right triangle?

Back

The tangent function (tan) is defined as the ratio of the length of the opposite side to the length of the adjacent side.

Front

How do you use the sine function to find a side in a right triangle?

Back

To find a side using the sine function, use the formula: sin(θ) = opposite/hypotenuse, and rearrange to find the opposite side: opposite = hypotenuse * sin(θ).

Front

How do you use the cosine function to find a side in a right triangle?

Back

To find a side using the cosine function, use the formula: cos(θ) = adjacent/hypotenuse, and rearrange to find the adjacent side: adjacent = hypotenuse * cos(θ).

Front

How do you use the tangent function to find a side in a right triangle?

Back

To find a side using the tangent function, use the formula: tan(θ) = opposite/adjacent, and rearrange to find the opposite side: opposite = adjacent * tan(θ).

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 relationship between the angles and sides in a right triangle?

Back

In a right triangle, the angles determine the ratios of the sides, which can be calculated using sine, cosine, and tangent functions.

Front

How do you round a number to the nearest tenth?

Back

To round a number to the nearest tenth, look at the hundredths place. If it is 5 or greater, round up the tenths place by one. If it is less than 5, keep the tenths place the same.

Front

What is the formula to find the length of a side using the sine function?

Back

The formula is: length of side = hypotenuse * sin(angle).