Answer:
[tex]\frac{\pi }{4}[/tex]
Step-by-step explanation:
To obtain the coterminal angle add 2π
- [tex]\frac{7\pi }{4}[/tex] + 2π = [tex]\frac{\pi }{4}[/tex]
The coterminal angle of (-7/4)*pi is B = (1/4)pi
or any angle A, in radians, we define the family of the coterminal angles as:
B = A + n*2pi
Where n is an integer. So we just need to find the value of n such that:
B = (-7/4)pi + n*(2pi) is on the desired range.
If we take n = 1.
B = (-7/4)*pi + 2pi = (1/4)pi
It is on the desired range:
0 < (1/4)pi < 2pi
So B = (1/4)pi is the correct answer.
If you want to learn about coterminal angles:
https://brainly.com/question/3286526
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