Unit 8 DO NOW

Front

What is the formula to find the length of an arc in a circle?

Back

The length of an arc (L) can be calculated using the formula: L = r * θ, where r is the radius and θ is the central angle in radians.

Front

How do you convert radians to degrees?

Back

To convert radians to degrees, use the formula: degrees = radians * (180/π).

Front

What is the relationship between the radius and the central angle in radians?

Back

The central angle in radians is equal to the length of the arc divided by the radius: θ = L/r.

Front

What is the period of a trigonometric function?

Back

The period of a trigonometric function is the distance along the x-axis over which the function completes one full cycle.

Front

How do you find the period of the sine function?

Back

The period of the sine function is 2π. For transformations, the period can be calculated as 2π divided by the coefficient of x.

Front

What is the sine function used for in trigonometry?

Back

The sine function relates the angle of a right triangle to the ratio of the length of the opposite side to the hypotenuse.

Front

How do you convert degrees to radians?

Back

To convert degrees to radians, use the formula: radians = degrees * (π/180).

Front

What is the value of sin(90°)?

Back

The value of sin(90°) is 1.

Front

What is the value of sin(30°)?

Back

The value of sin(30°) is 1/2.

Front

What is the value of sin(45°)?

Back

The value of sin(45°) is √2/2.