Can I please get the answers to these? **Trigonometric Functions and Their Characteristics**Understanding the properties of sine functions is crucial in trigonometry. In this exercise, we aim to identify the number of cycles, amplitude, and period of given sine functions within the interval from \(0\) to \(2\pi\).### Problem Set:**13.**- **Graph Description:** - The graph represents a sine function oscillating between -4 and +4 on the y-axis. - The x-axis spans from \(0\) to \(2\pi\) with key points marked at \( \pi \), \( \frac{3\pi}{2} \), and \( 2\pi \). - Within this interval, there appears to be one complete cycle of the sine wave.- **Analysis:** - **Number of Cycles:** The sine function completes 1 cycle from \(0\) to \(2\pi\). - **Amplitude:** The amplitude is the maximum value of the function, which is 4. - **Period:** The period is the length over which the sine function completes one full cycle, which is \(2\pi\).**14.**- **Graph Description:** - This graph depicts a sine function undergoing rapid oscillations, also between -4 and +4 on the y-axis. - The x-axis ranges from \(0\) to \(2\pi\), with significant points at \( \pi \), \( \frac{3\pi}{2} \), and \( 2\pi \). - The function completes multiple cycles within this interval.- **Analysis:** - **Number of Cycles:** Counting the oscillations, the sine function completes approximately 7 cycles from \(0\) to \(2\pi\). - **Amplitude:** The amplitude is again observed to be 4. - **Period:** The period can be calculated by understanding that the function completes 7 cycles in \(2\pi\). Therefore, the period is \( \frac{2\pi}{7} \).### Summary:For each given sine function, we can determine its characteristics such as the number of cycles, amplitude, and period based on the graph. The first function exhibits a single complete cycle with an amplitude of 4 and a period of \(2\pi\). The second function shows 7 cycles with the same amplitude of 4, but with a

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Description: Can I please get the answers to these? **Trigonometric Functions and Their Characteristics**Understanding the properties of sine functions is crucial in trigonometry. In this exercise, we aim to identify the number of cycles, amplitude, and period of

The sine and cosine functions are referred to as sinusoidal functions. It is because of their…

Answered: How many c Find the amp 13. y

Math

Advanced Math

How many c Find the amp 13. y

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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