Trigonometry

the equipment used is a boat , office and animals

It is the ratio of the length of the adjacent side to that of the hypotenuse.

For navigational purposes

They are 1-dimensional objects in Euclidean space.

The word spatula comes from the Latin word 'spatha' that has the meaning of broadsword. The spatula is a cooking utensil that is has a flat blade and used to lift or remove foods from hot surfaces.

The period of a trigonometric function, since it depends on the angle of a ray centered in a unit circle, is 2 pi radians or 360 degrees.

tangent will always be larger because its denominator is smaller than sine's.

sin2(1) = 1 - cos2(1) = 1 - [cos(1)]2

Consider driving into town to buy something:

Do you need to wear warm clothes or light, what is the likelihood of rain?

Do you have enough time to walk to your destination or should you drive? (Many of a car's functions are controlled by microprocessors that do lots of calculations all the time to ensure that your car is working efficiently).

How long will you want to park the car?

How much will parking cost?

Have you got enough cash to buy what you want or do you need a cashpoint?

Do you remember your PIN? (data encryption uses very large prime numbers)

V = 155*sin[120pi*t + a] where V is the voltage, t is the time in seconds and a is the phase shift.

A plain figure is a simple figure.

The period of sin + cos is 2*pi radians (360 degrees) so the period of sin(3x) + cos(3x) is 2*pi/3 radians.

The question is a bit confusing in the way it is asked. Typically you use the rod to gain elevation (numbers) and then calculate the elevation of a certain geographical point using a basic survey technique known as leveling. Leveling combines the calculations of a known elevation, known as a bench mark (BM), to the height of a survey level (height of instrument). The process of leveling is done in what is called loops. There are two loops in the process an open loop, and a closing loop. To open the loop, the height of the instrument (HI) is calculated using the rod. A rod person stands with the rod placed on top of the BM and the surveyor uses the level to shoot what is known as a back sight (BS). The number read on the rod by the surveyor is added to the know elevation of the BM; this gives the HI. After the HI is established, the rod person moves to some point (preferably a solid object no greater than 50' away from the BM) and places the rod on this point; this point is called a turning point (TP). The surveyor now shoots what is known as a fore sight (FS). The new number read on the rod is subtracted from the HI and the elevation of the (TP) is established. Next, the surveyor moves the instrument to a new location while the rod person stays at the TP. A BS is shot at the TP and the HI is again established. This process of establishing TP elevations and moving the instrument is repeated until the geographical point in question is established; now the open loop is completed. Once the elevation has been established the open loop must be closed. This is done to ensure that no errors occurred on the part of the surveyor during the survey. To close the loop the whole process is done in reverse. The rod person remains at the established elevation while the surveyor moves or changes the height of the instrument. Then the whole process is redone working back towards the BM using the derived elevation and the established TPs. The loop is closed when the survey and rod person calculate the BM elevation based on the established elevation of the geographical point in question. The calculated BM elevation is subtracted from the known BM elevation to give the survey error. While this sounds complex, the process is quite simple and after a few tries can be a fun thing to do.

Ancient Indian mathmatician aryabhatta is credited as inventor of trignometry.

You cannot prove it because it is not true!

cos(0) = 1

cos(2*pi) = 1

cos(4*pi) = 1

...

cos(2*k*pi) = 1 for all integers k

or, if you still work in degrees,

cos(0) = 1

cos(360) = 1

cos(720) = 1

...

cos(k*360) = 1 for all integers k

Calico originated in India. From the city of Calicut, Kerala, India. Around the 11th century. Calico originated in India. From the city of Calicut, Kerala, India. Around the 11th century.

A protractor.

8.94

According to recent (August 2017) research by the University of New South Wales, it was an unknown mathematician (or mathematicians) in Babylon. They produced a tablet, known as Plimpton 322, which contains tables of trig ration. This was some 1500 years before the Greek astronomer Hipparchus who, until now, was regarded the father of trigonometry. Thus, the Babylonian(s) may have been the first two astronomers - their identities are not recorded.

In geometry, similar shapes have the same angles. This means that the values of the basic trigonometric functions of these angles are the same.

Anything involving a square law automatically invokes a quadratic function by definition, even if the equations is as simple as y = x^2, such as the area of a square (hence the names).

At a more advanced level, quadratic and higher-order functions crop up in all manner of real-life science and engineering problems.

data is a set of words like a phrase

Right triangles - those with a 90-degree angle.