Ch 5.2 Practice Flashcard

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

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

Back

To find the length of a side using sine, use the formula: sin(θ) = opposite/hypotenuse, where θ is the angle.

Front

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

Back

To find the length of a side using cosine, use the formula: cos(θ) = adjacent/hypotenuse, where θ is the angle.

Front

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

Back

In a right triangle, the sum of the angles is always 180 degrees, and the side lengths are proportional to the sine and cosine of the angles.

Front

What is the formula to find the hypotenuse in a right triangle?

Back

The hypotenuse can be found using the Pythagorean theorem: c² = a² + b², where c is the hypotenuse and a and b are the other two sides.

Front

How do you convert an angle from degrees to radians?

Back

To convert degrees to radians, multiply the degree measure by π/180.

Front

What is the value of sin(30°)?

Back

sin(30°) = 0.5.

Front

What is the value of cos(30°)?

Back

cos(30°) = √3/2 or approximately 0.8660.

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: tan(θ) = opposite/adjacent.