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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

What do engineers use trigonometry for?

Engineers use trigonometry anywhere that involves non-right angles. That includes building cars and buildings, bridges, and many other structures. they also use trigonometry when dealing with fields, like magnetic and electric fields. Also, trigonometry is very important with engineers who deal with waves, such as sound or light engineers.

How do you find angle in a triangle when the sides and altitude are givenin trigonometry?

Suppose you are given the three sides of a triangle and the altitude from the apex to the base. The altitude divides the triangle into two right-angled triangles and the arcsine function can be used to determine the two base angles. Subtracting their sum from 180 gives the third angle.

How many different hands of poker can you make with 7 cards?

There are 20 unique 5-card hands.

Solution:

First break apart the player card combinations.

You can either use player card 1, player card 2, or both player cards 1 and 2 with the hand. Therefore, you are taking 5 cards, 3 at a time, when playing with both player cards, and 5 cards, 4 at a time, when playing with 1 player card.

Mathematically, this can be expressed using the Binomial coefficient

2 x ( 5 choose 4 ) + ( 5 choose 3 ) = Number of possible 5-card hands.

5 choose 4 = 5 : This represents the combinations between 1 player card and 5 table cards, 4 at a time. (http://www.wolframalpha.com/input/?i=5+choose+4)

5 choose 3 = 10 : This represents the combinations between 2 player cards, and 5 table cards, 3 at a time. (http://www.wolframalpha.com/input/?i=5+choose+3)

Thus, 2 x ( 5 ) + ( 10 ) = 20 .

Further Information:

All possible hand combinations are listed below.

A and B are the two player cards.

0 through 5 are the five table cards.

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A 1 2 3 4

A 2 3 4 5

A 3 4 5 1

A 4 5 1 2

A 5 1 2 3

B 1 2 3 4

B 2 3 4 5

B 3 4 5 1

B 4 5 1 2

B 5 1 2 3

A B 2 3 4

A B 3 4 5

A B 1 2 3

A B 4 5 1

A B 5 1 2

A B 4 5 2

A B 4 1 2

A B 5 1 3

A B 5 2 3

A B 1 3 5

What does socahtoa mean?

This is referring the trigonometry, and is a shorthand to jot on the corner of the page if you are a beginner, s, just means sin; c means cos, and t tan, a means opposite and a alternate.

What skills and personalities are computer game developers looking for?

They want people with awesome skills in the computer department! they want people ready to work 24/7 on new games and the fun part is you get to play the games! they want an energetic personality, ready to try out new games ready to make new games ANYTHING INCLUDING GAMES!!!!!!!!!!!!!!!!! does that answer youe=r question?

Who is father of trigonometry?

Trigonometry has been developed over centuries, and was not discovered per-se by any one person. One might say that Pythagoras is the father of trigonometry because the Pythagorean theorem is so central to trigonometric theory, but many cultures were aware of the Pythagorean theorem before Pythagoras was even born.

How can you used trigonometry in projectile motions?

when a body is thrown at an angle in a projectile motion, the vertical component of the velocity is vcos(B) ..where v is the velocity at which the body is thrown and B represents the angle at which it is thrown.Similarly horizontal component is vsin(B). these components are useful in determining the range of the projectile ,the maximum height reached,time of ascent,time of descent etc.,

What is the relationship between the angle of elevation and the highest point?

If the base of the elevation is at a distance d from the observer, then the highest point is at a height = d*tan(angle of elevation)

How do you study elective mathematics the easy way?

by working more examples on what you are taught.one can also learn by going to extra classes and using what we learn every day in everything we do.

How do you solve without a calculator tan squared theta plus 1?

This is the same as secant squared theta [sec²(Θ)].

  • Take the identity sin²(Θ) + cos²(Θ) = 1
  • Divide both sides by cos²(Θ):
  1. sin²(Θ) / cos²(Θ) = tan²(Θ)
  2. cos²(Θ) / cos²(Θ) = 1
  3. 1 / cos²(Θ) = sec²(Θ)

tan²(Θ) + 1 = sec²(Θ)

How many square feet in a circle that is 3 feet in diameter?

diameter is 3 ft diameter = 2*radius diameter/2 = radius 3/2 = 1.5 ft = radius area is pi * radius2 3.14 * (1.5)2 3.14 * 2.25 = 7.065 sq ft

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.