Finding Side Lengths Using Trig 24-25

Front

What is the sine function in trigonometry?

Back

The sine function (sin) is a 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 a 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 a 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 the sine function?

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 the cosine function?

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 the tangent function?

Back

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

Front

What is the Pythagorean theorem?

Back

The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides: a² + b² = c².

Front

What is the importance of setting the calculator to degree mode in trigonometry?

Back

Setting the calculator to degree mode is important because trigonometric functions are often based on angles measured in degrees.

Front

What does 'round to the tenths place' mean?

Back

Rounding to the tenths place means to round a number to one decimal place, keeping only one digit after the decimal point.

Front

If the hypotenuse is 30 and the angle is 45 degrees, what is the length of the opposite side?

Back

The length of the opposite side is 30 * sin(45) = 30 * 0.7071 ≈ 21.2.