# What are sine functions used for?

## What are sine functions used for?

The sine function is defined as the ratio of the side of the triangle opposite the angle divided by the hypotenuse. This ratio can be used to solve problems involving distance or height, or if you need to know an angle measure.

What are some real life examples of the graphs of sine and cosine in the real world?

Sine and Cosine curves are often naturally occurring in the world. Examples of this can be waves of water, radio waves, or electric currents. The strength at which the waves move or how wide they are is considered the amplitude. The graphs of sine and cosine are essentially the same.

### Where is Sin Cos Tan used in real life?

Sine and cosine are used to convert polar coordinates into cartesian coordinates. Sine and cosine are important to study simple harmonic motion. Sine and cosine are used in electrical engineering to study AC circuits.

What is a real life example of trigonometry?

Trigonometry can be used to roof a house, to make the roof inclined ( in the case of single individual bungalows) and the height of the roof in buildings etc. It is used naval and aviation industries. It is used in cartography (creation of maps). Also trigonometry has its applications in satellite systems.

## Where are trigonometric graphs used in real life?

used in physics, engineering, physics, chemistry and mathematics. electrical currents, radio broadcasting, low and high tides of the ocean, highways and building.

Can you cite a real life application of law of sines?

You can use the Law of Sines to solve real-life problems involving oblique triangles. For instance, in Exercise 44 on page 438, you can use the Law of Sines to determine the length of the shadow of the Leaning Tower of Pisa.

### How are sine waves used in music?

The simplest model of a musical sound is a sine wave, were the domain (x-axis) is time and the range (y-axis) is pressure. A sine wave with amplitude A = 60 dB and frequency f = 100 Hz. In general, a sound has two characteristics: pitch and volume. The pitch, or note played, corresponds to the frequency of the wave.

Where are sine waves used?

Sine waves are used in technical analysis and trading to help identify patterns and cross-overs related to oscillators.

## How can functions be used in real life?

Functions are mathematical building blocks for designing machines, predicting natural disasters, curing diseases, understanding world economies and for keeping airplanes in the air. Functions can take input from many variables, but always give the same output, unique to that function.

What Are sin cos and tan used for?

Sin, cos, and tan are the basic trigonometric ratios in trigonometry, used to study the relationship between the angles and sides of a triangle (especially of a right-angled triangle).

### Can trigonometry be used in everyday life?

Trigonometry and its functions have an enormous number of uses in our daily life. For instance, it is used in geography to measure the distance between landmarks, in astronomy to measure the distance of nearby stars and also in the satellite navigation system.

How can I apply the concept of law of sines and cosines in real life?

The law of sines and the law of cosines can be applied to problems in real-world contexts to calculate unknown lengths and angle measures in non-right triangles. These questions may take a variety of forms including worded problems, problems involving directions, and problems involving other geometric shapes.

## How do you graph a sine function?

y = sin x

• The roots or zeros of y = sin x is at the multiples of π
• The sin graph passes the x-axis as sin x = 0 there
• Period of the sine function is 2π
• The height of the curve at each point is equal to the line value of sine
• What are the properties of sine function?

sine (θ) = cos (π/2 − θ) = 1/cosec (θ)

• arcsin (sin θ) = θ,for −π/2 ≤ θ ≤ π/2
• cos2 (θ)+sin2 (θ) = 1
• Sin (2x) = 2sin (x) cos (x)
• Cos (2x) = cos2 (x) − sin2 (x)
• ### What is the equation for the sine function?

A,amplitude,the peak deviation of the function from zero.

• f,ordinary frequency,the number of oscillations (cycles) that occur each second of time.
• ω = 2π f,angular frequency,the rate of change of the function argument in units of radians per second
• How to graph sine functions?

Pencil or pen to draw

• Different colors to display the different shapes of the graph (optional)
• Graphing calculator or software to check your work (optional)