What is the general expression in degrees for the measure of all angles coterminal with alpha when alpha=173 degrees?
To find the general expression for the measure of all angles coterminal with α, we need to add or subtract a multiple of 360 degrees from α.
Let's start with α = 173 degrees.
To find an angle coterminal with α by adding or subtracting multiples of 360 degrees, we can express the general expression as:
α ± 360n
Here, n is an integer that represents the number of complete rotations we add or subtract from α.
For α = 173 degrees, the general expression for the measure of all angles coterminal with α is:
173 ± 360n
Where n can be any integer.
Hence, the general expression in degrees for the measure of all angles coterminal with α when α = 173 degrees is 173 ± 360n, where n is an integer.
Every time you add or subtract a rotation, you get a co-terminal angle and end up in the same place
so (173 + 360k)° , where k is an integer