5. \( [0 / 1 \) Points] DETAILS PREVIOUS ANSWERS SALGTRIG4 5.1.033. MY NOTES ASK YOUR TEACHER PRACTICE ANUIHEK The measure of an angle in standard position is given. Find two positive angles and two negative angles that are coterminal with the given angle. (Enter your answers as a commaseparated list.) \[ -315 \times \frac{7 \pi}{4} \times \] Need Help? Read It Watch it Submit Answer

To find angles that are coterminal with -315 degrees, we can add or subtract multiples of 360 degrees. Adding 360 degrees to -315 degrees gives us -315 + 360 = 45 degrees. Adding another 360 degrees gives us 45 + 360 = 405 degrees. Subtracting 360 degrees from -315 degrees gives us -315 - 360 = -675 degrees. Subtracting another 360 degrees gives us -675 - 360 = -1035 degrees. Therefore, two positive angles that are coterminal with -315 degrees are 45 degrees and 405 degrees, and two negative angles that are coterminal with -315 degrees are -675 degrees and -1035 degrees. In radians, we can use the same process. Adding 2π radians to -315π/180 radians gives us -315π/180 + 2π = -315π/180 + 360π/180 = 45π/180 radians. Adding another 2π radians gives us 45π/180 + 2π = 45π/180 + 360π/180 = 405π/180 radians. Subtracting 2π radians from -315π/180 radians gives us -315π/180 - 2π = -315π/180 - 360π/180 = -675π/180 radians. Subtracting another 2π radians gives us -675π/180 - 2π = -675π/180 - 360π/180 = -1035π/180 radians. Therefore, two positive angles that are coterminal with -315π/180 radians are 45π/180 radians and 405π/180 radians, and two negative angles that are coterminal with -315π/180 radians are -675π/180 radians and -1035π/180 radians. So the answer is: 45 degrees, 405 degrees, -675 degrees, -1035 degrees, 45π/180 radians, 405π/180 radians, -675π/180 radians, -1035π/180 radians.