Answer:
![y=sin^(-1)x](https://img.qammunity.org/2021/formulas/mathematics/high-school/awt2oeg4jxltgm3a303ibyjm6o9ep604z2.png)
Explanation:
Given: A point is
![(0,2\pi)](https://img.qammunity.org/2021/formulas/mathematics/college/il3tnnu60hdne3bnwsskl5k54nw2jk3skp.png)
To find: function whose graph passes through the given point
Solution:
A trigonometry explains the relationship between the sides and the angles of the triangle.
The inverse trigonometric functions
help to find the value of an unknown angle of a right triangle when length of two sides are given.
Consider
![\sin y=x](https://img.qammunity.org/2021/formulas/mathematics/high-school/yc6nxy3ojaqnf1qm0tiw90k9cux9t1q3il.png)
Put
![y=2\pi](https://img.qammunity.org/2021/formulas/mathematics/high-school/zm3exg2p9vgj7simvs50z1oueykjr7p9j1.png)
![sin 2\pi=0](https://img.qammunity.org/2021/formulas/mathematics/high-school/fco5nibot3ozdtk3kou5o5rof78puz57su.png)
So, point
satisfies the function
![y=sin^(-1)x](https://img.qammunity.org/2021/formulas/mathematics/high-school/awt2oeg4jxltgm3a303ibyjm6o9ep604z2.png)
Therefore, graph of function
passes through
![(0,2\pi)](https://img.qammunity.org/2021/formulas/mathematics/college/il3tnnu60hdne3bnwsskl5k54nw2jk3skp.png)