Answer:
![(cosb,s\imaginaryI nb)](https://img.qammunity.org/2023/formulas/mathematics/college/djbw3prjtzqmygkan40n0uskq1g9azy874.png)
Step-by-step explanation:
In the unit circle ( a circle with a radius of 1) the coordinate (x, y) of a point on the circumference is given by the following expression:
where
![\theta\text{ is the angle formed between the point and the x-axis}](https://img.qammunity.org/2023/formulas/mathematics/college/dmsrbwwqmis3ik5c8lzjdw0sgnojn0fv0v.png)
In this case, that angle is b.
Therefore, The x-coordinate is given by
![cosb](https://img.qammunity.org/2023/formulas/mathematics/college/bkuwfk2cgp6he1z4mtcvyfacbhxcypiyuy.png)
and the y-coordinate is given by:
![sinb](https://img.qammunity.org/2023/formulas/mathematics/college/4zsxwcnn2k8nsq7mzgsx8hexl8wed4qja4.png)
The exact coordinates (x,y) of point P in terms of angle b are:
![(cosb,sinb)](https://img.qammunity.org/2023/formulas/mathematics/college/5ta6mapbpqhttoy6qqqkt5eounvbgj6snm.png)
Answer:
![(cosb,s\imaginaryI nb)](https://img.qammunity.org/2023/formulas/mathematics/college/djbw3prjtzqmygkan40n0uskq1g9azy874.png)