14sin4x

14sin4x is a mathematical expression involving the sine function. The expression is 14 multiplied by the sine of 4x. The sine function, denoted as sin(), is a trigonometric function that relates an angle of a right-angled triangle to the ratio of the length of the side opposite the angle to the length of the hypotenuse. In the context of 14sin4x, 'x' represents an angle, and '4x' represents four times that angle. The value of sin(4x) will oscillate between -1 and 1, inclusive, regardless of the value of x. Multiplying this value by 14 scales the amplitude of the sine wave. Therefore, the expression 14sin4x will oscillate between -14 and 14, inclusive. This type of expression is commonly encountered in various fields of mathematics and physics, such as in the study of waves, oscillations, and Fourier analysis. The number 14 represents the amplitude of the wave, and the factor of 4 within the sine function affects the frequency or period of the oscillation. A higher coefficient inside the sine function leads to a shorter period and a higher frequency.