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Trigonometry

Trigonometry is a field of mathematics. It is the study of triangles. Trigonometry includes planar trigonometry, spherical trigonometry, finding unknown values in triangles, trigonometric functions, and trigonometric function graphs.

3,810 Questions

How do you get a mixed number from a fraction?

You mean mixed fraction?

This only works when the top (numerator) is larger than the bottom (denominator).

You divide the top by the bottom as close as you as you can and write this as a whole number and then the remainder as a numerator over the original denominator.

Example:

67/9 -> 7 4/9

Explanation: 67 divided by 9 is 7 with 4 left over.

Does pi over 4 equal 45 degrees?

pi/4 radians = 45 degrees.

2pi radians = 360 degrees

pi radians = 180 degrees

pi/2 radians = 90 degrees

pi/4 radians = 45 degrees

pi/3 radians = 60 degrees.

et seq.,

What is cos 45 degrees?

Usually you can get the sine or cosine of an angle from a calculator very quickly. However, many calculators won't tell you that the result, which is about 0.707, is exactly 1 / square root of 2, or the equivalent square root of 2 / 2.

What is the minimum age for kas exams?

The minimum age for KAS exams is typically 21 years old. However, this age requirement may vary depending on the specific state or region conducting the exams.

How do you measure the height of an object too far away to measure the distance to the object?

You can use trigonometry to measure the height of an object that is too far away to directly measure the distance to. By measuring the angle of elevation from your position to the top of the object and knowing your distance from the object, you can use trigonometric functions to calculate the height.

How do you find the angle of elevation from the tip of the shadow of a 12 foot flag pole to the top of the pole is 60 degrees?

You can use trigonometry to find the angle of elevation. Let x be the distance from the tip of the shadow to the base of the pole and the height of the pole be y. Then, tan(60 degrees) = y/x. Given that the height of the pole is 12 feet, you can solve for x to find the angle of elevation.

What is thirteen thousand one hundred sixty-eight miles due west from thirty five degrees four feet North one hundred six degrees thirty six feet west?

Radius of earth = 6,371,000 metres

13,168 miles = 21,191,841.792 metres

35 degrees 4 minutes = 35.0667 degrees

106 degrees 36 minutes = 106.6 degrees

Then >

Circumference of circle of latitude 35 degrees 4 minutes North:

= (Earth radius * cos 35.0667) * 2 * pi = 32,764,060.7432 metres

Degrees of longitude from start point:

= 21,191,841.792 / 32,764,060.7432

= 232.84852 degrees west of 106.6 degrees west of Greenwich meridian

= 339.44852 degrees west of Greenwich meridian (longitude)

= (360 - 339.44852) 20.55148 degrees east, 35.0667 degrees north

Deserts of Sudan, Eastern Africa

How to solve trigonometry problems easily?

The most easiest method to solve trigonometric problems is to be place the values of the sin/cos/tan/cot/sec/cosec . The values will help to solve the trigonometric problems with less difficulty.

Is right ascension measured in hours minutes and seconds?

Yes, right ascension is typically measured in hours, minutes, and seconds. It is one of the coordinates used in the equatorial coordinate system to locate objects in the sky.

How exactly do tidal experts use sine waves in the sea?

The gravitational effect of the moon on bodies of water on the earth create a simple harmonnic motion (SHM) which manifests itself as semi-diurnal tides: that is, two hight tides and two low tides in approximately one day. The interval between two high todes (or two low tides) is approx 12 hours and 25 minutes.

The tidal effect is very well modelled by SHM, for which the sine (or cosine) waves are solutions.

The gravitational effect of the sun and local geography also play a part in tides.

To what degree will lifestyle changes reduce the risk of diabetes associated with insulin resistance?

Lifestyle changes, such as maintaining a healthy weight, engaging in regular physical activity, and following a balanced diet, can significantly reduce the risk of developing diabetes associated with insulin resistance. These changes can help improve insulin sensitivity and lower blood sugar levels, ultimately decreasing the likelihood of developing diabetes. It is recommended to consult with a healthcare provider for personalized guidance on lifestyle modifications to reduce diabetes risk.

Revolutions per minute to linear velocity?

After any whole number of revolutions, the total displacement is zero

and so the average velocity is zero.

At any instant, the magnitude (speed component) of instantaneous velocity is

(pi) x (distance from center of rotation) x (RPM / 30) units per second.

Convert 500 000 mm to km?

To convert 500,000 mm to km, divide by 1,000,000 (since 1 km is equal to 1,000,000 mm). This gives you 0.5 km.

How is trigonometry used in geography?

Extensively finding out how far away something is from something else --------

Trigonometry is used extensively in calculations involving Cartesian coordinates. Cartesian coordinates can be used to represent a map with North, South, East and West directions. For example, vectors, or directions can be expressed using trigonometry. Let's say you want to find a location that is three miles east of one known location that is one mile south of where you are right now. How far is your destination from where you are now? Trigonometry not only tells you the answer, it can tell you what direction to take with a compass to get there on a straight line. Your destination is sqrt(10) miles away, at a heading of tan(3) degrees east of due south or cot(3) degrees south of due east. Trig can also be used to calculate the distance an object is if you know what height it is, or you can calculate the height of an object if you know how far it is and have a tool to make line-of-sight measurements of angles, such as a sextant.

What is the Logarithmic formula that gives the pH of a substance?

The definitive answer is 'pH = -log(10) [H^(+)]

In words, ' pH is the negative logarithm, to the base ten, of the hydrogen ion concentration.

As an example

If H^(+) is 0.002

Then

pH = -log(10)[0.002]

On the calculator using the 'log' button

pH = -(-2.69897...)

pH = 2.69897...

pH = 2.70

NB This would be an acidic pH

NNB pH is always quoted to 2 d.p. only.

NNNB Do NOT use the 'ln' button on a calculator.

What does tan equal in trigonometry?

Tan = o/a

Tangent of an angle = opposite over adjacent.

Here are the other Trig. functions.

SINe(angle) = opposite/hypotenuse

COSine(angle) = adjacent/hypotenuse

COTangent(angle) = adjacent/opposite

Cosecant(CSC)(angle) = hypotenuse/oppositre

SECant(angle) = hypotenuse/ adjcent.

Were does the word microphone come from?

The word "microphone" comes from the Greek words "micros," meaning small, and "phone," meaning sound. It was first coined in the late 19th century to describe a device that converts sound waves into electrical signals.

Where did the word fluffy come from?

The origin of the word "fluffy" is uncertain, but it is thought to have derived from the Middle English word "flouff." "Fluffy" is used to describe something light, soft, and puffy in texture, like clouds or fur.

Where does the word Phonics come from?

I'm guessing it comes from the word "Phoenicians"--people who are credited with the first alphabet. However, I am not 100% sure.

Where did the word Job come from?

job

1557, in phrase jobbe of worke "piece of work" (contrasted with continuous labor), perhaps a variant of gobbe "mass, lump" (c.1400, see gob). Sense of "work done for pay" first recorded 1660. Slang meaning "specimen, thing, person" is from 1927. The verb is attested from 1670. On the job "hard at work" is from 1882. Jobber "one who does odd jobs" is from 1706. Job lot is from obsolete sense of "cartload, lump," which may also be ult. from gob.

Source: http://www.etymonline.com/index.php?term=job

Where did the word sin come from?

The Aramaic root "Sin", as it occurs in "Sinai" or the "Wilderness of Sin" means 'dirt'. Its eventual meaning in the Judeo-Christian tradition of a 'bad action' probably developed out of the language of 'clean' vs 'unclean' (i.e. 'dirty') in the Hebrew Scriptures.

Where did the word 'netiquette' come from?

'Netiquette' is a portmanteau of 'net' (short for 'internet') and 'etiquette'. It was coined to refer to the set of rules and guidelines for proper behavior and communication online. The term became popular in the early days of the internet as users recognized the need for establishing norms for respectful and courteous online interactions.

Looking for a Zane Grey book set all titles hardback beige tan and red covers found in most libraries?

I have a set, not sure how complete. They are hardcover, but not red- more a diamond pattern of a fancy ZG monogram on tan background with a black binding. Copyright 1956 by ZG; "by arrangement with Harper & Brothers". If you write me directly, I can send you a picture of the cover and inside of one, typical of the set. eJud @ GO.com

:)

Jud



I also have a set but of the Red and beige. Some have original film. Copyright 1958 thru 196X. Includes autobiography of Zane Grey. 43 volumes.