Final answer:
To find the radian measure equivalent to -15 degrees, multiply by π/180, resulting in -π/12 or option b. - (1/12)π.
Step-by-step explanation:
The student asked which radian measure is equivalent to -15 degrees. To convert degrees to radians, one can use the fact that 180 degrees is equivalent to π radians. Therefore, for -15 degrees, the calculation is as follows:
-15 degrees × (π radians / 180 degrees) = -π/12 radians.
So the correct answer is b. - (1/12)π.
This means that the angle of -15 degrees is the same as the angle of - (1/12)π
radians on the unit circle. For example, the point (-3
/2, -1/2) has an angle of -15 degrees or - (1/12)π