Trigonometry

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.

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

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

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.

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

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.

When you graph a tangent function, the asymptotes represent x values 90 and 270.

data is a set of words like a phrase

by congruence, difference, or by identifying w/c is greater or less

a right angle or any other angle does not have a length. your question cannot be answered.

Right triangles - those with a 90-degree angle.

The language of the question is too ambiguous. In mathematics, we use precise language to avoid this problem. point a is 40 metres from the base of building B the angle of elevation to the top of building C is 51 degree and to the top of the flagpole D on top of building is 56 dedree

Easy! Squares have right angles (90)

D = Degrees

90 is a right angle (Square)

180 is a straight line (Horizontal line)

270+ Reflex angle (A Pac-man Shape)

90x4= 360 - a square has 360 altogether

Yes, but only if the argument of the sine function is in radians.

Just as with any other identity, a trigonometric identity is a trigonometric statement (other than a definition), which is true for all values of the variable or variables.

For sailors, bearing is the angle measured clockwise from North. For mathematicians, direction is measured counter-clockwise from the positive x-axis. Thus, due East as a bearing would be 90 degrees, since it is 90 degrees clockwise from North, and East as a direction would be 0 degrees, since East is the same as the positive x-axis. So yeah, there you go.

Right, acute, and obtuse...

that is not a mathematical question, you have to know what its made of.

It is a measure of angular displacement, expressed as a three digit number. It starts at North = 000 and is measured in the clockwise direction.

Cosine and secant are even trig functions.