# How do you graph sine and cosine curves?

## How do you graph sine and cosine curves?

18:34Suggested clip 55 secondsGraphing Sine and Cosine Trig Functions With Transformations …YouTubeStart of suggested clipEnd of suggested clip

### How do you remember Sin Cos Tan graphs?

Hello,Pierre learnt trig 2 years ago. But he still remembers the trig graphs thanks to these tricks. Sin: Remember sine by how you say it. S-ai-n. Cos: Remember cosine by its name. Half of it is sine. Tan: It goes up. But the best way to remember is to practice.Thank You.-Pierre.

#### How do you graph sine cosine and tangent?

14:07Suggested clip 107 secondsGraphs of Sine, Cosine and Tangent Functions – YouTubeYouTubeStart of suggested clipEnd of suggested clip

How do you draw a sine graph?

How to Graph a Sine FunctionFind the values for domain and range. No matter what you put into the sine function, you get an answer as output, because. Calculate the graph’s x-intercepts. When you graph lines in algebra, the x-intercepts occur when y = 0. Calculate the graph’s maximum and minimum points. Sketch the graph of the function.

How do you graph sine and cosines without a calculator?

14:31Suggested clip 101 secondsGraphing Sine & Cosine w/out a Calculator Pt1 – YouTubeYouTubeStart of suggested clipEnd of suggested clip

## What does a sine graph look like?

To graph the sine function, we mark the angle along the horizontal x axis, and for each angle, we put the sine of that angle on the vertical y-axis. The result, as seen above, is a smooth curve that varies from +1 to -1. Curves that follow this shape are called ‘sinusoidal’ after the name of the sine function.

### At what angle is sin?

The related angle is 60°.120° is in the second quadrant,so sin 120°= sin 60°= .

#### What is the formula for a sine wave?

Sine Wave. A general form of a sinusoidal wave is y(x,t)=Asin(kx−ωt+ϕ) y ( x , t ) = A sin ( kx − ω t + ϕ ) , where A is the amplitude of the wave, ω is the wave’s angular frequency, k is the wavenumber, and ϕ is the phase of the sine wave given in radians.

What is the equation of sine?

An investigation of y = a sin (bx+c) for different values of a, b, and c. The graphs of functions defined by y = sin x are called sine waves or sinusoidal waves. Notice that the graph repeats itself as it moves along the x-axis.

What is sin equal to?

They are just the length of one side divided by another. For a right triangle with an angle θ : Sine Function: sin(θ) = Opposite / Hypotenuse.

## What does a cos graph look like?

To graph the cosine function, we mark the angle along the horizontal x axis, and for each angle, we put the cosine of that angle on the vertical y-axis. The result, as seen above, is a smooth curve that varies from +1 to -1. As you do so, the point on the graph moves to correspond with the angle and its cosine.

### How do you tell if a graph is sine or cosine?

In a cosine graph, a positive or negative number vertically flips the graph and determines whether the graph starts at the maximum (if it’s positive) or minimum (if it’s negative). For a sine graph, a positive or negative number vertically flips the graph like it does with a cosine graph.

#### How do you go from sin to cos?

The Basic Two: Sine and Cosine(1) Memorize: sine = (opposite side) / hypotenuse. (2) sin A = cos(90° − A) or cos(π/2 − A) cos A = sin(90° − A) or sin(π/2 − A)(3) Memorize: (4) tangent = (opposite side) / (adjacent side)(5) Memorize: (6) tan A = cot(90° − A) or cot(π/2 − A) (7) sec A = csc(90° − A) or csc(π/2 − A)

Where does Cos start on a graph?

Cosine is just like Sine, but it starts at 1 and heads down until π radians (180°) and then heads up again.

How often does tan repeat?

180◦

## What is the value of sin cos and tan?

Example: what are the sine, cosine and tangent of 30° ?Sinesin(30°) = 1 / 2 = 0.5Cosinecos(30°) = 1.732 / 2 = 0.866…Tangenttan(30°) = 1 / 1.732 = 0.577…

### What is the maximum value of sin 3 Theta?

Therefore considering sin3θcos2θ+cos3θsin2θ or sin(5θ) will be the same. So the maximum value of sin(5θ) is 1. As the maximum value of sin function is 1.

#### What is the maximum value of tan?

The maximum value of tanx is ∞. The minimum value of tanx is −∞. The value of tanx is undefined at x = 90° and x = 270°.

What is the minimum and maximum value of sin theta?

Maximum value of sin θ is 1 when θ = 90 ˚. Minimum value of sin θ is –1 when θ = 270 ˚. So, the range of values of sin θ is –1 ≤ sin θ ≤ 1. As the point θ moves round the unit circle in either the clockwise or anticlockwise direction, the sine curve above repeats itself for every interval of 360˚.

What is the minimum and maximum value of tan theta?

tan θ does not have any maximum or minimum values. tan θ = 1 when θ = 45 ˚ and 225˚ . the maximum value of tan theta is infinity. tan θ does not have any maximum or minimum values.