Show that the sine or cosine value of an angle measuring 48 degree is equivalent to the sine or cosine value of that same angle
measured in radians and state the value of the function.
To show that the sine or cosine value of an angle measuring 48 degrees is equivalent to the sine or cosine value of that same angle measured in radians, we can use the conversion factor between degrees and radians.
There are π radians in 180 degrees, therefore 1 degree is equal to π/180 radians.
To find the value of sine or cosine of 48 degrees in radians, we can use the conversion:
48 degrees * π/180 radians/degree = 48π/180 radians
Simplifying:
48/180 = 4/15
Therefore, the value of sine or cosine of an angle measuring 48 degrees in radians is equivalent to the value of sine or cosine of the angle measuring 48π/180 radians, which is 4/15.