Final answer:
The conversion of −36° into radians is done using the formula Radians = Degrees × (π/180), which results in approximately -0.6283 radians. Among the given options, -π/5 is the closest, so −36° in radians is -π/5.
Step-by-step explanation:
The question asks for the conversion of −36° into radians. The conversion factor is that 1 radian is approximately equal to 57.3°. To convert degrees into radians, we use the formula:
Radians = Degrees × (π/180)
Converting −36° to radians gives us:
−36° × (π/180) = −0.6283 radians
Looking at the given choices, none of them match the exact value. However, among the options, choice (c) -π/5 is the closest approximation of -0.6283 radians.
Therefore, −36° converted to radians is approximately -π/5.