Questions and answers

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

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

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

What are some real applications of sine and cosine functions?

In real life, sine and cosine functions can be used in space flight and polar coordinates, music, ballistic trajectories, and GPS and cell phones.

What and how are the application of triangle trigonometry in real life?

Other uses of trigonometry: It is used in oceanography in calculating the height of tides in oceans. 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.

What are real life applications of trigonometry?

Other Uses of Trigonometry

  • The calculus is based on trigonometry and algebra.
  • The fundamental trigonometric functions like sine and cosine are used to describe the sound and light waves.
  • Trigonometry is used in oceanography to calculate heights of waves and tides in oceans.
  • It used in the creation of maps.

What is the difference between a sine and cosine graph?

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.

Why do we need sine?

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. Example: To find the length of the side opposite the angle, d, we use the sine function.

Why is it important to learn trigonometry?

Trigonometry is a very important part of ICSE Class 10 Mathematics and integrates memorisation, conceptual understanding and problem-solving ability. It helps students to have a better understanding of the world because many of the earth’s natural structures resemble triangles.

How do doctors use trigonometry?

Trigonometry is an advanced form of geometry that focuses on triangles. Doctors use trig specifically to understand waves (radiation, X-ray, ultraviolet, and water). Trigonometry is vital to understand calculus.

Is sound always a sine wave?

In general, sound waves are not sinusoidal.

How do you go from sin to cos?

All triangles have 3 angles that add to 180 degrees. Therefore, if one angle is 90 degrees we can figure out Sin Theta = Cos (90 – Theta) and Cos Theta = Sin (90 – Theta).

How are sine cosine and tangent used in real life?

The reality is that the functions of sine, cosine and tangent are embedded in the foundations of modern mathematics and, as you’ll discover, the world around us. First, you must understand that each of these functions has its own graph. These graphs act as a reference every time you use a trigonometric function.

Where are sine and cosine trigonometric functions found?

Trigonometric functions- believe it or not can be found almost everywhere around us. Whether you are listening to music, or looking at a skyscraper, sine and cosine can be found in all walks of life. The sine and cosine functions can also be represented in 90 degree triangles all around us.

How are sine and cosine functions used in oceanography?

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 sound and light waves. Calculus is made up of Trigonometry and Algebra.

How are sine and cosine used in construction?

Trigonometric Functions in Construction. Some of the many applications of trigonometry in construction include find the height of existing buildings with triangles, building trusses for roof support, and finding the desired roof pitch for a house. GPS and cellphones rely on triangulation and formulas involving sin/cos.