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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

Where did the word Benguet come from?

Benget, the original reference to La Trinidad and which eventually became the name of the province La Trinidad belongs to, has two meanings: foul smell and the turban part of the Ibaloi womenfolk costume. How Trinidad looks today -a valley engulfed with mountain ridges, owes it to the traumatic volcano eruption and earthquake in 1641, such that the apex collapsed and decimated into a lake of sulfur. Hence, La Trinidad is a crater. As time went by, the lake dried up. Even though it stunk from sulfur, it attracted farmerfolks from nearby and surrounding villages that included Kafagway (today's Baguio City). The place was found to be perfect for their payew or farmlands and animal pastureland. Benget, pronounced in the typical Ibaloi schwa sound, eventually became home to La Trinidad's ancestors: Baban and his children, Capdin and Agmaliw, Berang married to cCoranay, Pa-ang married to Tamec, among others. They would be referred to as i-Benget (one from Benget). Guillermo de Galvey, the Spanish conquistador that made it to the heart of Ibaloi land, immediately fell in loved with the place and named it in honor of his wife Trinidad, in honor of the majestic awesomeness the valley represented which reminded him of his wife. The anecdote that La Trinidad earned its name from a misinterpretation, of course, could have been corrected thereafter. Nonetheless, the Spanish conquistadors took note of the coincidence between the two meanings of that one word and the prominence the turban brought about, thus found the place appropriately named. The reference to Benget expanded to include all other areas the Spaniards found to have womenfolk wearing the benget. Thanks to their mission for expedition and adventurous spirit. Spanish records, understandably would have the name written in the manner the Spaniards would pronounce and spell it, Benguet. La Trinidad and Benguet became official names in 1846. -Esther Dawn Paclim ( for the Historical booth of Puguis, La Trinidad -March 2009)

How do you find trigonometric ratios without a calculator?

There are a few ways. First, there are a multitude of trigonometric tables which list the sines and cosines of a variety of values. if you now one trigonometric value of a number, you can find all the others by hand, and you can also use a Taylor series approximation to find a fairly accurate value. (In fact, many calculators use Taylor series to find trigonometric values.)

How do you find a short side of a triangle using trigonometry?

The answer depends on what information you have about the other sides and angles.

What is the importance of trigonometry in navigation?

Navigation takes place on the surface of a sphere, and it involves angles and distances. Spherical trigonometry was developed from plane trigonometry so that navigators could find their away over the Earth's surface.

How would a crime scene investigator use trigonometry?

Examples include:

validating the line of sight evidence of witnesses.

calculating the angle of a shot being fired and therefore the direction from which a shot was fired. If several shots were fired in a small time interval (so the shooter was more or less in the same place), the shot trajectories identify his/her location.

in the case of blunt instrument injury, calculating the angle of impact can give some indication of the relative heights of the victim and assailant.

What is value of sin of 5.834 degrees?

According to the scientific calculator on my computer, that would be 0.1016. I gave you 4 significant digits because you gave me the angle to 4 significant digits.

The distance between telephone pole is 60 meters Driving down the highway you passed 24 poles in one minute What was your speed in kilometers per hour?

This should be fairly straight-forward. Let's see... we have: 60 Meter per Pole * 24 Poles per Minute = 1,440 Meters per Minute * 60 Minutes per Hour = 86,400 Meters per Hour / 1,000 Meters per Kilometer = 86.4 Kilometers per Hour (or approximately 53.7 MPH). Are we good?

the fortistat of isobars multiplied by 34.98 inches divided by the barometric pressure on venus +456 cubic meters is the answer

Write z equals 3i in abbreviated trigonometric form?

z = 3i

r=3

theta=taninverse(3/0)=undefine

as we know tan theta is undefine at 90 and 270....check through qustion ..their is + sign with imag part....its mean angle is 90

so we write it as

3(cos90 + isin90)

The origin and the development of statistics?

The earliest recorded use of statistics was in the 5th century BCE. The ancient Greeks were attempting to scale a wall, and determined the necessary height for their ladders by counting the bricks in the wall. Since that time, the science of statistics has expanded to include both the collection of the data and the mathematical analysis thereof.

Who is founder of trigonometry?

No one in particular because trigonometry has evolved over thousands of years with many ancient and modern mathematicians making their own discoveries and contributions to the subject.

What are the importance of spherical trigonometry in mathematics?

We live on a sphere. Calculating 'shortest' distance on the sphere is not a simple trig problem, you may need spherical trig.

How can you graph tan x in Microsoft Excel?

In the 1st column make a list of numbers, and in the 2nd column calculate the tangent of each value in the 1st column. Try entering 0.01 in A1 and =A1+0.01 in A2, then select A2:A942 and fill down. In B1 enter =tan(A1), then select B1:B942 and fill down. Next, select A1:B942, then insert a line graph. Adjust the Y axis range until it looks good.

Why is Hipparchus the father of trigonometry?

Because he was credited with working out the mathematics behind it.

How do solve sin 2 theta - square root of 3 theta- equals 0?

The only real solution is theta = 0

For theta < 0 square root of 3 theta is not defined.

For theta > 0, sin theta increases slower than 3*theta and so the sum is always negative.

The only real solution is theta = 0

For theta < 0 square root of 3 theta is not defined.

For theta > 0, sin theta increases slower than 3*theta and so the sum is always negative.

The only real solution is theta = 0

For theta < 0 square root of 3 theta is not defined.

For theta > 0, sin theta increases slower than 3*theta and so the sum is always negative.

The only real solution is theta = 0

For theta < 0 square root of 3 theta is not defined.

For theta > 0, sin theta increases slower than 3*theta and so the sum is always negative.

How can improve math of class XI?

the only soluton is regular practice.Pravtice makaes a man perfect.First be thorough with the book uypu have been prescribed with then try out with references.

Two boats leave the port at the same time the first boat travels due east at 14mph and the second boat travels at 28mph inthe direction of N30degrees Ehow far apart will the boats be in 12 hr?

After 12 hours, the first boat is at a distance 14*12 = 168 miles east of the port.

The second boat is at a distance

28*12*cos(30) = 291.0 miles north

and

28*12*sin(30) = 168.0 miles east

of the port.

Since their Eastward displacement is the same, the distance between the two is the Northwards displacement of the second boat = 291.0 miles.

Prove that cosA-sinA equals 2sinA?

that cannot be proved because it is not necessarily true.

Determine second third and 12TH harmonic of a sine wave?

A sine wave has no harmonics. It only has a fundamental, so the value of the 2nd, 3rd, and 12th harmonics of a sine wave is zero.