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The tangent of an angle theta (tan(theta)) cannot be expressed as a percentage since it is a mathematical function that gives the ratio of the opposite side to the adjacent side in a right triangle. It is a dimensionless quantity and is typically expressed as a decimal or a fraction.

Periodic functions are those functions for which the value of the dependent variable repeats itself for certain values of the dependent variable.

example:

F(x)=y

x is the dependent variable (output of the function)

y is the independent variable (input of the function)

F(x1)=y1

F(x2)=y1

As you can see the value of the function is the same for two different values of the dependent variable.

The smallest difference between any two dependent variables giving the same value of the function is the period of the function.

The periodicity of the usual sine function is 2pi. This is how it works:

F(X)=sin(X)

sin(x1)=y

sin(x2)=sin(x1+2pi)=y

sin(x3)=sin(x1+4pi)=y

The smallest difference between any two independent variables (x1 or x2 or x3) is 2pi.

This is also evident from the general sine curve (graphical representation). The sine function has a fixed range from -1 to 1 (i.e.,for sin(x)=y, y can only lie between -1 and 1). So, the interval (difference in values of the independent variable) after which the nature of the wave repeats is it's period. Look at the graph and you'll see that the wave replicates after covering 2pi from the current point.

One plus cosecant squared x is equal to cotangent squared x.

The two major parts of a plant are the roots and the shoots. The roots are typically found below ground and are responsible for anchoring the plant, absorbing water and nutrients from the soil. The shoots are above ground and include the stem, leaves, flowers, and fruits. They are responsible for photosynthesis, reproduction, and support of the plant.

In trigonometry, identities are mathematical expressions that are true for all values of the variables involved. Some common trigonometric identities include the Pythagorean identities, the reciprocal identities, the quotient identities, and the double angle identities. These identities are used to simplify trigonometric expressions and solve trigonometric equations.

A reciprocal trigonometric function is the ratio of the reciprocal of a trigonometric function to either the sine, cosine, or tangent function. The reciprocal of the sine function is the cosecant function, the reciprocal of the cosine function is the secant function, and the reciprocal of the tangent function is the cotangent function. These functions are useful in solving trigonometric equations and graphing trigonometric functions.

The expression tan(theta) sin(theta) / cos(theta) simplifies to sin^2(theta) / cos(theta). In trigonometry, sin^2(theta) is equal to (1 - cos^2(theta)), so the expression can be further simplified to (1 - cos^2(theta)) / cos(theta).

Trigonometry is used in everyday life in various ways. It is used in navigation to calculate distances and angles, in architecture and engineering to design structures and determine angles for construction, and in physics and mechanical engineering to analyze forces and motion. Trigonometry is also used in fields such as astronomy, music, and electrical circuits.

To find the tangent of 1, you can use the inverse tangent function (arctan) on a calculator. Simply input 1 into the arctan function and calculate the result. The tangent of 1 is approximately 0.7854.

Well, using a^2 + b^2 = c^2, where a and b are the legs and c is the hypotenuse, you need to square 39 and 36. Then your equation should look like a^2 +1296 = 1521, then solve for a^2, getting the variable by itself, so you have a^2 = 225. Then take the square root of both sides leaving you with a= 15. So, the ladder must be placed 15 feet from the base of the house.

You cannot get the Triforce in any way. Link, Zelda, and Ganondorf all represent the pieces of the Triforce, so really, as Link, you have a bit of it the whole game.

The diameter of an 1826 British Sixpence is 19 mm.

Therefore the radius (r) is 9.5 mm.

The formula for calculating the circumference of a circle is 2 x Pi x r .

The circumference of an 1826 British Sixpence is 59.69 mm.

The current British Penny (1992 to present) is -

20.3mm in diameter (radius = 10.15mm) and is 1.65mm thick (height).

Volume = Height x Pi (Radius x Radius)

Volume = 1.65 x 3.14 (10.15 x 10.15)

Therefore the volume is a smidgeon greater than 534 cubic mm.

Trigonometry and Pythagoras' theorem

It is an abbreviation for sine, and that word together with cosine and tangent are used in simple trigonometrical calculations about right-angled triangles. If we take the shortest side of the triangle, together with the hypotenuse (the longest side) these two sides enclose an angle. The sine of that angle tells us how long the third side is compared with the hypotenuse. Draw a triangle ABC with the right angle at A, the shortest side called AB, the hypotenuse called BC, and the remaining side CA, then if we wanted the sine of angle B we would divide the length of CA by the length of CB. If you want to find the Sine of 50 degrees on a calculator you would press buttons in this order: 50, then the sin button, and the answer would be given almost instantly in the calculator's window. That's much quicker than having to calculate for yourself.

The period is the reciprocal of the frequency, in this case, 1/250 second.

You should draw a circle by first drawing a square. Then turn that square into a house. Then turn the house into a penguin. After all of this get another piece of paper then draw a circle.

Hope I helped :D

xx+10-24=xx-14 --> (x+sqrt(14))(x-sqrt(14))

if xx+10x-24

axx+bx+c

a=1

b=10

c=-24

Multiply a and c:

1*-24=-24

Find multiples of ac that add up to b (d,e [ie de=ac, d+e=b]):

24=2*2*2*3

2*-12, -2*12

3*-8, -3*8

4*-6, -4*6

Rewrite axx+bx+c into axx+dx+ex+c:

xx-2x+12x-24

Factor sets of terms (ie axx+dx, and ex+c):

xx-2x+12x-24

x(x-2)+12(x-2)

Combine like terms:

(x-2)(x+12)

In India, the Hindus made further advances during and after the fifth century. These advances included the construction of some early trigonometric tables and, more important, the invention of a new numbering system that made calculating much simpler. Hindu mathematicians based their version of trigonometry on variants of the sine function. The Hindu system led not only to the sine function, but to the cosine, tangent, and other familiar trigonometric functions we use today.

During their centuries of contact with the Greeks and Hindus, Arabic mathematicians adopted many of their mathematical discoveries. Among prominent Arabic mathematicians who helped translate Hindu mathematical texts or introduced Hindu mathematics to the Arabs were al-Battani (c. 850-929), Abu al-Wafa (940-998), and al-Biruni (973-?). Al-Battani adapted Greek trigonometry and astronomical observations to make them more useful. Al-Biruni was among the first to use the sine function in astronomy and geography, and Abu al-Wafa helped apply spherical trigonometry to astronomy, among other important contributions.

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The word dollar is derived from German Taler (Thaler) - also a unit of currency. (The word had sometimes been used as a nickname for Spanish pieces of eight, which cirulated in the American colonies).

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.