What are real applications of the sine and cosine graph function?

What are real applications of the sine and cosine graph function?

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

Where do we use trigonometric graphs 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.

In what ways can the graphs of sine and cosine be transformed?

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.
• Changing the period stretches or compresses the graph horizontally.

What do the graphs of sine and cosine have in common with the swing you see?

What do the graphs of sine and cosine have in common with the swinging you see? The high and low points repeat in pattern.

How useful are the laws of sine and cosine in dealing with real life situations?

Many real-world applications involve oblique triangles, where the Sine and Cosine Laws can be used to find certain measurements. It is important to identify which tool is appropriate. The Cosine Law is used to find a side, given an angle between the other two sides, or to find an angle given all three sides.

Why are sine and cosine functions called periodic functions?

Verbal. 1) Why are the sine and cosine functions called periodic functions? The sine and cosine functions have the property that f(x+P)=f(x) for a certain P. This means that the function values repeat for every P units on the x-axis.

How can you relate law of sines in real life situation?

One real-life application of the sine rule is the sine bar, which is used to measure the angle of tilt in engineering. Other common examples include measuring distances in navigation and the measurement of the distance between two stars in astronomy.

Why is sine and cosine important?

It can help us better understand the connections between the sides and angles of rectangles. Sine, cosine, and tangent are important to the study of right triangles. Have you ever seen this type of triangle? If so, you know that one of its three angles is always 90° (a right angle).

How are the graphs of sine and cosine related to the properties of the unit circle?

Using the unit circle, the sine of an angle t equals the y-value of the endpoint on the unit circle of an arc of length t whereas the cosine of an angle t equals the x-value of the endpoint.

What is the difference between sine and cosine graphs?

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.

What is cosine used for?

We can use the cosine rule to find the three unknown angles of a triangle if the three side lengths of the given triangle are known. We can also use the cosine rule to find the third side length of a triangle if two side lengths and the angle between them are known.

What is the purpose of sine cosine and tangent?

What is the best trigonometric function to model and solve periodic phenomena?

The sine and cosine functions are most frequently used to model real life periodic events.