Problems in Trigonometry


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Sine, Cosine and Tangent

Trigonometry helps us find angles and distances, and is used a lot in science, engineering, video games, and more! The triangle of most interest is the right-angled triangle. The right angle is shown by the little box in the corner:.


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The main functions in trigonometry are Sine, Cosine and Tangent. Sine, Cosine and Tangent are often abbreviated to sin, cos and tan. The triangle could be larger, smaller or turned around, but that angle will always have that ratio. We can't reach the top of the tree, so we walk away and measure an angle using a protractor and distance using a laser :. What does the 0. It is the ratio of the side lengths, so the Opposite is about 0. Note: you can see the nice graphs made by sine, cosine and tangent. Angles can be in Degrees or Radians.

Here are some examples:. Because the angle is rotating around and around the circle the Sine, Cosine and Tangent functions repeat once every full rotation see Amplitude, Period, Phase Shift and Frequency.

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It helps us in Solving Triangles. When we know any 3 of the sides or angles we can find the other 3 except for the three angles case. See Solving Triangles for more details.

Trigonometry and Pythagoras' Theorem

Similar to Sine, Cosine and Tangent, there are three other trigonometric functions which are made by dividing one side by another:. Also, marine biologists utilize mathematical models to measure and understand sea animals and their behaviour. Marine biologists may use trigonometry to determine the size of wild animals from a distance.

In marine engineering trigonometry is used to build and navigate marine vessels. To be more specific trigonometry is used to design the Marine ramp, which is a sloping surface to connect lower and higher level areas, it can be a slope or even a staircase depending on its application. Trigonometry is used to set directions such as the north south east west, it tells you what direction to take with the compass to get on a straight direction.

It is used in navigation in order to pinpoint a location.

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It is also used to find the distance of the shore from a point in the sea. It is also used to see the horizon.


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  5. To start practising trigonometry all you need is to click here! Embibe has plenty of tests and practice to help you prepare for your JEE Exams, absolutely free. Also, trigonometry is used in mechanical engineering. My father is a mechanical engineer and he uses trigonometry when designing equipment for companies. This article was very helpful for my homework, IA. However, I have one suggestion please describe the use in the fields you have given, like give examples if possible.

    Thank you once more for providing this amazing article for free. Embibe is India's leading AI Based tech-company with a keen focus on improving learning outcomes, using personalised data analytics, for students across all level of ability and access. Support: support embibe. General: info embibe. Starting from the basics, Can trigonometry be used in everyday life?


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    7. Trigonometry can be used to measure the height of a building or mountains: if you know the distance from where you observe the building and the angle of elevation you can easily find the height of the building. Trigonometry in video games: Have you ever played the game, Mario? Trigonometry in construction: In construction we need trigonometry to calculate the following: Measuring fields, lots and areas; Making walls parallel and perpendicular; Installing ceramic tiles; Roof inclination; The height of the building, the width length etc.

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      Trigonometry in flight engineering: Flight engineers have to take in account their speed, distance, and direction along with the speed and direction of the wind. Trigonometry in physics: In physics, trigonometry is used to find the components of vectors, model the mechanics of waves both physical and electromagnetic and oscillations, sum the strength of fields, and use dot and cross products.

      Do archaeologists use trigonometry? Trigonometry in marine biology; Marine biologists often use trigonometry to establish measurements. Trigonometry in marine engineering: In marine engineering trigonometry is used to build and navigate marine vessels.

      Trigonometry

      Trigonometry used in navigation: Trigonometry is used to set directions such as the north south east west, it tells you what direction to take with the compass to get on a straight direction. Other uses of trigonometry: 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.

      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. Kim Hansel.

      Problems in Trigonometry Problems in Trigonometry
      Problems in Trigonometry Problems in Trigonometry
      Problems in Trigonometry Problems in Trigonometry
      Problems in Trigonometry Problems in Trigonometry
      Problems in Trigonometry Problems in Trigonometry
      Problems in Trigonometry Problems in Trigonometry

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