Answer:
Explanation:
To find the coterminal angle with 887, we can add or subtract any multiple of 360°.
Adding a multiple of 360°:
887 + n(360)
where n is an integer.
Subtracting a multiple of 360°:
887 - n(360)
where n is an integer.
To find the angle between -0° and -36°, we need to subtract a multiple of 360° from 887 to get an angle between -0° and -36°.
887 - n(360) = -x
where x is the angle between -0° and -36°.
We can solve for x:
x = 887 - n(360)
We want x to be negative, so we need to choose a value of n such that 887 - n(360) is less than 0.
If we set n = 3, then:
x = 887 - 3(360) = 47
So, the angle between -0° and -36° that is coterminal with 887 is 47 degrees.