## How is the sine function used in real life?

Sine and cosine functions can be used to model many real-life scenarios – radio waves, tides, musical tones, electrical currents.

## What are the transformations of a sine function?

Period, Midline, and Amplitude. Changes to the amplitude, period, and midline are called transformations of the basic sine and cosine graphs. Changing the midline shifts the graph vertically. Changing the amplitude stretches or compresses the graph vertically.

Where are sin cos and tan used in real life?

You can even use trig to figure out the angles the sun will shine into a building or room. Construction workers also use sine, cosine, and tangent in this way. They need to measure the sizes of lots, roof angles, heights of walls and widths of flooring, and even more.

How can you use trigonometric equations in real life?

Applications of Trigonometry

1. Measuring grounds lots, and fields,
2. Measuring ground surfaces,
3. Making building perpendicular and parallel,
4. Roof inclination and roof slopes,
5. Installing ceramic tiles and stones,
6. The height and width of the building.
7. light angles and sun shading.

### In what instances do we apply the sine laws?

The Law of Sines can be used to compute the remaining sides of a triangle when two angles and a side are known (AAS or ASA) or when we are given two sides and a non-enclosed angle (SSA). We can use the Law of Sines when solving triangles. Solving a triangle means to find the unknown lengths and angles of the triangle.

### What would be one everyday application of trig functions?

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 do you describe the transformation of a trig function?

The phase shift of a trigonometric function is calculated using the formula phase shift=CB phase shift = C B When C is positive, the graph will appear to shift to the right. When C is negative, the graph will shift to the left. Adding a value D to a trig function will translate its graph vertically.

Which transformations change the location of a sinusoidal function?

horizontal stretch (HS) alters the period. vertical stretch (VS) alters the amplitude. horizontal translation (HT) causes a phase shift relocating our initial point. vertical translation (VT) relocates the sinusoidal axis.

#### What are the importance of law of sines and cosines in your daily life living?

It is used in oceanography in calculating the height of tides in oceans. The sine and cosine functions are fundamental to the theory of periodic functions, those that describe the sound and light waves. Calculus is made up of Trigonometry and Algebra.

#### How are trigonometric functions used in the real world?

So, what are trig functions used for in real life? Trig functions are used or found in architecture & construction, communications, day length, electrical engineering, flight, GPS, graphics, land surveying & cartography, music, tides, optics, and trajectories.

Which of the following scenarios would you be unable to use Law of Sines?

If we are given two sides and an included angle of a triangle or if we are given 3 sides of a triangle, we cannot use the Law of Sines because we cannot set up any proportions where enough information is known.