I need help!!!!
Write an expression describing all the angles that are coterminal with 127° . (Please use the variable "k" in your answer)
... + 360k
Write an expression describing all the angles that are coterminal with 107°
To find the angles that are coterminal with 127°, we need to add or subtract multiples of 360° to the given angle.
Let's represent the angles that are coterminal with 127° using the variable "k." We can express this as:
127° + 360°k
So, the expression describing all the angles that are coterminal with 127° is 127° + 360°k, where k is any integer.
To describe all the angles that are coterminal with 127°, we can use the equation:
θ = 127° + 360°k
Where θ represents the angle in degrees, and k is an integer that can take any value.
Explanation:
An angle is said to be coterminal with another angle if both angles have the same initial and terminal sides when drawn in standard position.
In this case, 127° is our given angle. To find all the angles that are coterminal with 127°, we need to add or subtract multiples of 360° to our given angle.
Since 360° represents one complete revolution, adding or subtracting it will bring us back to the same position.
By adding 360°k to 127°, where k is any integer, we can generate an infinite number of angles that will be coterminal.
For example:
When k = 0, θ = 127° + (360° × 0) = 127°
When k = 1, θ = 127° + (360° × 1) = 487°
When k = -1, θ = 127° + (360° × -1) = -233°
So, the expression to describe all the angles coterminal with 127° is θ = 127° + 360°k, where k is any integer.