The measure of Ø of an angle in standard position is given.
a. Write each degree measure in radians and each radian measure in degrees rounded to the nearest degree.
g. Find the exact values of cos Ø and sin Ø for each angle measure
It is not clear what angle measure is given. Please provide the angle measure in order to complete the task.
60 degrees
a. To convert degrees to radians, multiply by π/180. To convert radians to degrees, multiply by 180/π.
60 degrees in radians:
60° × π/180 = π/3 radians
60 degrees rounded to nearest degree in radians:
π/3 radians ≈ 1.05 radians
π/3 radians in degrees:
π/3 × 180/π = 60 degrees
b. Using the angle measure of 60 degrees:
cos(60°) = 1/2
sin(60°) = √3/2
To convert degree measure to radians, you can use the formula: Radians = Degrees * (π/180)
To convert radians to degrees, you can use the formula: Degrees = Radians * (180/π)
Please provide me with the specific angle measure value (Ø) in standard position, so I can perform the calculations for you.