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Before calculators, trig functions in general were evaluated using a slide rule (fast, but accurate to only 2-3 significant digits, and interpolation tables, which required interpolating between values in a printed table of function values to get up to 3-4 significant digits. Tricks were a big part of the repertoire - for example for small angles of less than about 7 degrees, sin and tangent are equal to the angle in radians.

Spherical geometry was fairly labor intensive, to say the least, since several trig functions are used for even simple distance and angle calculations. Special tables were printed for common cases, such as plotting great circle distances and bearings for terrestrial navigation.

In a desert island setting, given infinite time and desire, trig functions can be calculated using various converging series, with the Taylor series being a commonly taught (though slow!) example.

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Q: How do you solve an equation that uses spherical trigonometry without a calculator?
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What important in trigonometry in your life and course?

I live in a house. It could not have been built without trigonometry.I get about on a push-bike, car or other vehicles. None of these would work without trigonometry.


How do you solve the equation 3x-12 plus 4x plus 7?

Without an equality sign it's not an equation but it can be simplified to: 7x-5


Application of trignometry in real life?

If you work in engineering, you'll need trigonometry, and other advanced math topics, all the time. Otherwise, you can come along quite well without it, and will seldom find any practical use for it.


What are some careers that use trigonometry?

Surveyors use trigonmetry to find the exact height, length, and/or width of man-made and/or natural objects without having to measure it all manually. I think, to get the angle, they use a special gun thing that they point at the end of the object, which works it all out, then they just have to measure the distance they are from the object. After that its up to their trigonometry skills, and if they're good, then they should find the almost exact length, height, and/or width. There are so many jobs that use trigonometry -> an architect, Crime Scene Investigators, any job dealing with outer space (astronomers, physicist, astronauts, the men that guide the astronauts, etc), carpenter, machinist, engineering (mechanical, computer, chemical, civil, aeronautical, industrial, etc.), any job involving navigation (pilots -- air and sea), computer game creators. The list could go on and on, but I think you get the idea.


What are the objectives of teaching trignometry?

The obvious answer is to impart a sound knowledge of the subject in the students. However, you probably want to know why anyone wants to learn trigonometry. The answer to that is this. Trigonometry is a mathematical tool which is almost essential to know if you want to understand how to build structures cheaply and effectively. With trig. it's easy to figure out where things are most likely to break and how thick structural parts must be to carry loads safely. Trig. is also very useful to understand waves - all sorts of waves such as radio waves and waves on water. Without trig. engineers would waste so much time trying to work things out that they'd never succeed in any job.

Related questions

Relevance in trigonometry in act?

The ACT asks questions about basic sines, cosines, and tangents. These questions can be answered without a calculator.


What are the disadvantages of math equation?

sometimes they just cant be solved without a calculator


What is the importance of trigonometry?

Spherical trigonometry is important because the Earth is a sphere, not a plane, so if you wanted to get the distance between one point on Earth and another, plane trigonometry wouldn't give you the right answer. Plane trigonometry can be used to find the height of something without having to climb it, such as a flagpole or skyscraper. Trigonometry, whether spherical or planar, is used in engineering to design buildings, cars, ships, and planes. It is used in physics to calculate the properties of electric and magnetic fields. It is used in navigation, and projectile motion. It is also used in the design of musical chords and instruments, as well as lenses and optics.


How do you solve 1- 2cos squared theta without a calculator?

-1


What important in trigonometry in your life and course?

I live in a house. It could not have been built without trigonometry.I get about on a push-bike, car or other vehicles. None of these would work without trigonometry.


What are the 3 formulas for trigonometry?

There are many formulae in trigonometry, not just three. So the question cannot be answered without knowing which three you mean.


How is trigonometry used in a cartographer?

Trig helps to measure distances between objects without anyone actually having to travel to all the points. It should be noted that trig is used "in cartography" (in the practice of map-making), or used "by a cartographer" (by a map maker).-


How do you turn a remainder into a decimal WITHOUT using calculator?

The only way, without a calculator, that I know of is long division.


How can you calculate the square root of 1.8e-5 without a calculator?

How can you calculate the square root of 1.8E-5 without a calculator?


How do I put the quadratic formula into a calculator?

The quadratic formula is x=-b±√b^2-4ac divided by 2a. You can only use this formula to solve the quadratic equation: ax^2+bx+c=0 If you were to punch the quadratic formula in the calculator, you would have to punch in the formula except replace the variables with the numbers from the equation. Ex. x^2+2x+1=0 a=1; b=2; c=1 In the calculator you would punch in x=-2±√2^2-4(1)(1) Or simply the equation without x=


Does using a calculator make you less intelligent?

No. However, alike anything else in life. If you use a calculator for everything, then the most remedial calculations may become hard to do without a calculator. It is good practise to do without a calculator where possible


How do you solve for the parts of oblique spherical triangle?

The answer will depend on what PARTS! Also, you will not be able to go very far without a good understanding of spherical geometry.