Complete both parts please ### Sinusoidal Function for Modeling Data#### Problem Statement**(a) Find a sinusoidal function of the form \( y = A \sin(\omega x - \phi) + B \) that fits the data.**Given values:- \( A = 2 \)- \( \omega = 2 \)- \( \phi = 2 \)- \( B = ? \) (Not provided, presumably needs to be determined based on additional data)**(b) Use the function found in part (a) to predict the number of hours of sunlight on April 1st, the 91st day of the year.**Approximation provided:- The estimated number of hours of sunlight on April 1st is approximately 2 hours.### Detailed Explanation1. **Understanding the Sinusoidal Function Components:** - **\( A \)**: Amplitude – represents the maximum deviation from the mean value. - **\( \omega \)**: Angular frequency – determines how many oscillations occur in a unit interval. - **\( \phi \)**: Phase shift – affects the horizontal displacement of the sinusoidal wave. - **\( B \)**: Vertical shift – moves the curve up or down along the y-axis.2. **Application of the Function:** - By substituting the given values into the general sinusoidal equation \( y = 2 \sin(2x - 2) + B \), it is theoretically fitted to match a certain dataset. However, since \( B \) is not provided, complete fitting requires more information.3. **Prediction on April 1st:** - Using the sinusoidal function, predict the number of hours of sunlight on a specific day of the year (April 1st, the 91st day). From the approximation, it is given that the number of sunlight hours is about 2 hours; however, the actual prediction would depend on solving the sinusoidal equation accordingly.### Graphs and Diagrams:There are no graphs or diagrams provided in this excerpt. If a graph were included, it would typically show the sinusoidal curve that models the daylight hours throughout the year, with key points marked for the specified days. Analyzing such a graph would involve identifying the points where the function intersects the value corresponding to April 1st. ---### Sunlight Hours in a City on SolsticesIn a certain city, the number of hours of sunlight on the summer solstice is 15.586, and the number of hours of sunlight on the winter solstice is 8.340.#### QuestionsAnswer the following questions. Assume that the summer solstice occurs on the 172nd day of the year, and that there are 365 days until the next summer solstice.---

We have to find the equation and number of hours.

In a certain city, the number of hours of sunlight on the summer solstice is 15.586 and the number of hours of sunlight on the winter solstice is 8.340. Answer the following questions. Assume that summer solstice occurs on the 172nd day of the year, and that there are 365 days until the next summer solstice.