What is the equation for the sine curve?
In its most general form, the sine wave can be described using the function y=a*sin(bx), where: a is known as the amplitude of the sine wave.
What is the general form of a sine wave?
A sine wave is a geometric waveform that oscillates (moves up, down, or side-to-side) periodically, and is defined by the function y = sin x. In other words, it is an s-shaped, smooth wave that oscillates above and below zero.
How do you write a general sine function?
A general sinusoidal function is of the form y=A\sin(B(x-h))+k or y=A\cos(B(x-h))+k.
How do you solve a sine curve?
The general form of the equation of a sine curve is y equals a times sine of the quantity BT. Plus C plus D.
What is an equation for a sine curve with amplitude 2?
Answer: The equation for a sine curve with amplitude 2 and period 4 pi radians is f(x) = 2 sin(x/2).
What is the general equation of a sine function with an amplitude of 2 a period of pi?
Why sine wave is called sine wave?
sinθ. Then the waveform shape produced by our simple single loop generator is commonly referred to as a Sine Wave as it is said to be sinusoidal in its shape. This type of waveform is called a sine wave because it is based on the trigonometric sine function used in mathematics, ( x(t) = Amax. sinθ ).
How do you write the equation of a sine function given its characteristics?
Write the Equation of a sine Function Given characteristics – YouTube
How do you write a sine wave?
The equation of a basic sine function is f ( x ) = sin . In this case , the frequency, is equal to 1 which means one cycle occurs in . If b = 1 2 , the period is 2 π 1 2 which means the period is and the graph is stretched.
How do you find the equation of a sine graph with two points?
How to determine the equation of a sine graph – YouTube
How do you write an equation with amplitude and period?
Write the equation of Sine or Cosine Given Amplitude and Period
What is the period equation?
… each complete oscillation, called the period, is constant. The formula for the period T of a pendulum is T = 2π Square root of√L/g, where L is the length of the pendulum and g is the acceleration due to gravity.
How do you write an equation of the sine function with each amplitude and period?
What is a sine curve in physics?
The sine wave or sinusoid is a mathematical curve that describes a smooth repetitive oscillation. It is named after the function sine, of which it is the graph. The sine wave occurs often in pure and applied mathematics, as well as physics, engineering, signal processing and many other fields.
Is a sine wave a parabola?
Penn Professor Discovers That Sine-Squared Is a Parabola.
How do you write an equation for a trig function?
Writing Equations for Trig Graphs – YouTube
How do you write a sinusoidal equation from a word problem?
Word Problems with Sine and Cosine Functions – YouTube
How do you write an equation for a trig graph?
Determining the equation of a trig function | Khan Academy – YouTube
How do you find the equation of a function from a graph?
To find the equation of a graphed line, find the y-intercept and the slope in order to write the equation in y-intercept (y=mx+b) form. Slope is the change in y over the change in x.
What is a period of a sine graph?
The period of the sine curve is the length of one cycle of the curve. The natural period of the sine curve is 2π. So, a coefficient of b=1 is equivalent to a period of 2π. To get the period of the sine curve for any coefficient b, just divide 2π by the coefficient b to get the new period of the curve.
What is the period of a sin function?
The period of the sine function is 2π, which means that the value of the function is the same every 2π units.
Why is a banana a parabola?
A banana is a parabola because it has a curve that is shaped like an arch. It gets this curve or parabola because of it growing upwards rather than downwards and the effect of gravity on its upward growth. Since it is a parabola, we can use mathematics to find the variables a b and c of any banana. Below is an example.
What is a parabolic curve?
In mathematics, a parabola is a plane curve which is mirror-symmetrical and is approximately U-shaped. It fits several superficially different mathematical descriptions, which can all be proved to define exactly the same curves.
How do you find the general solution of a trig equation?
Solving Trigonometric Equations – How to Write General Solution
How do you solve equations using sine and cosine?
Learn to Solve Sin & Cos Equations (Solving Trig Equations) – Part 1 [16]