0
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
How do you calculate the freq of a sine wave?
Suppose a sine wave of the form y = A*sin(k) with
- A = amplitude or maximum value of the function y (namely when k = pi/2 or 90°)
- k = the value on the x-axis of the function
It's typical of a sine wave that it's periodic, which means the function y repeats itself after a certain period. This period is equal to 2*pi or 360°, for example:
for k = pi/2, 5*pi/2, 9*pi/2, ... the value of y will be the same and equal to A (notice that 5*pi/2 = pi/2 + 2*pi and 9*pi/2 = 5*pi/2 + 2*pi)
In physics it's a more common practice to write a sine wave as y = A*sin(omega*t) with omega the angular frequency specified in radians/s (omega refers to the Greek letter) and t the time specified in seconds.
Now, when you want to calculate the frequency f of a sine wave (which is not equal to the angular frequency) or in other words the number of complete cycles that occur per second (specified in cycle/s or s-1 or Hz), you need to know the time T required to complete one full cycle (specified in s/cycle or just s or Hz-1). The frequency f is then equal to 1/T.
Knowing omega you can calculate the frequency in a different and more common way:
since the sine wave is periodic and after a time T one cycle has been completed (thus one period), it follows that omega*T = 2*pi for the function y to have the same value after one period (the function y having the same value is equal to completing one cycle).
Let's rearrange this formula by bringing 2*pi to the left and T to the right, so we get:
omega/(2*pi) = 1/T and since 1/T = f we finally get:
f = omega / (2*pi)What does pricipal mean in math?
calculate the volume of a cylindrical drum 18 cm in diameter 56 in deep
How many different types of triangle are there?
For the "catch all" and most broad type of triangles, there are 3:
Obtuse - 1 angle > 90°
Acute - all angles < 90°
Right - 1 angle exactly 90°
There are more specific categories, such as isosceles triangles, which can be obtuse, right or acute triangles that contain exactly 2 angles of equal degree, and exactly 2 sides of equal lengths.
What are identities trigonometry?
Identities are "equations" that are always true.
For example, the equation sin(x) = cos(x) is true for x = pi/4 + kpi radians where k is any integer [ = 45 + 180k degrees], but for any other value of x the equation is not true.
By contrast, the equation sin2(x) + cos2(x) = 1 is true whatever the value of x. This is an identity.
First obtain the height of the cylinder.
Height = 1077/area of the base
(i.e H = 1077 divided by pie-radius-squared)
Next get how much water does 1cm of height contain.
Take 1077/height.
Therefore, volume of rock = 1cm height's volume x 3
Let the angles be A B C and their opposite sides be a b c and by using trigonometry in the form of the cosine rule the 3rd side works out as 7.97 cm and the other angles are 42.65 degrees and 65.12 degrees.
How do you solve for y square root of 2 x minus 1?
Unfortunately, limitations of the browser used by Answers.com means that we cannot see most symbols. It is therefore impossible to give a proper answer to your question. Please resubmit your question spelling out the symbols as "plus", "minus", "times", "equals", "squared", "cubed" etc. Please use "brackets" (or parentheses) because it is impossible to work out whether x plus y squared is x + y2 of (x + y) 2.
Here, it is not clear whether the question is about y = sqrt(2x - 1) or y = sqrt(2x) - 1. The solutions in the two cases are different.
A key part of plumbing is installing piping with the proper slopes for drainage. That requires a good understanding of angles and triangles.
Where does the word fight come from?
it comes from an Old English word 'Lyftgelac' meaning flight through the air. The word 'to flee' in Old English is 'Aetfleon'
How do you draw the Arctic Circle?
The Arctic Circle is an imaginary line on globes and charts at about 66.5°N latitude. Locations north of the Arctic Circle can experience at least one 24-hour period of "night" during the winter. At the North Pole, this becomes 6 months of daylight and 6 months of night.
To "draw" the Arctic Circle, make a circle centered on the North Pole, about 2600 kilometers (1616 miles) in radius.
Click the link below for a video on the proper use of ladders.
How do you make a model for maths?
be more precise. what in maths. area or length or like pi or something. make it with clay its the easiest or make a diagram with paper.
What is the memory devise to remember the order of the trigonometric ratios?
One that is popular in the UK is
SOH - CAH - TOA
Sine = Opposite/Hypotenuse and so on.
You are meant to remember it as rhyming with "soccer tour". I don't find the latter part particularly convincing, though.
Is 2 cot x sin x cos x equals 2 2 sin 2 x an identity?
No.
But that could be because of limitations of the browser used by Answers.com. This means that we cannot see most symbols. It is therefore impossible to give a proper answer to your question. Please resubmit your question spelling out the symbols as "plus", "minus", "times", "equals".
What is the square root of negative 2 the square root of 3 squared plus negative 2 squared?
sq rt (-2) + (sq rt 3))2 + (-2)2
= i(sq rt 2) + 7 = 7 + i(sq rt 2) answer
this is a complex number, it cannot be further simplified.
Were does the word injustice come from?
In is an English prefix meaning "not". The word Justice comes from the Roman empiror Justinian who created a code of laws which systemized a legal system and created universal punishments for certain crimes.
How do the roles of government affect your day-to-day life?
i want somebody who knows not to just look at this and leave answer it so i can get my answer
What are the attributes of a cosine function?
There are many "attributes" of a cosine function. Some examples of attributes are as follows:
For, constants a, b, n,
y=a*cos(nx)+b has an amplitude of a, a period of 2pi/n, a range of [-a+b,a+b], a derivative of y'=-an*sin(nx).
Using Pythagoras' theorem it is 20 feet
How do you find the perimeter of a triangle when two angles are given And one is a 90 degree angle?
Knowing only the angles of a triangle does not provide enough information to determine its perimeter. You must know the length of at least one side.
Somehow I messed up andused 31 instead of 35
That is why you are receiving an improvement
Do a Google search for Diagonal of a cube
Find this website.
mathcentral.uregina.ca/QQ/database/QQ.09.04/brett1.HTML - Draw a cube
You will see how to find the diagonal of a cube.
You use Pythagorean Theorem
Draw a cube
Label each side as s
Draw the diagonal of the base of the cube
Diagonal of base = (s^2 + s^2 )^0.5
Let the diagonal of the base be the horizontal side of the right triangle whose hypotenuse is the diagonal of the cube.
The height of the cube is the vertical side of the right triangle whose hypotenuse is the diagonal of the cube.
Now determine the length of the diagonal of the cube.
(diagonal of base)^2 + (height of cube)^2 = (diagonal of cube )^2
Diagonal of base = (s^2 + s^2 )^0.5….Height of cube = s
Use Pythagorean Theorem
(diagonal of cube )^2 = (diagonal of base)^2 + (height of cube)^2
(diagonal of base)^2 = [(s^2 + s^2 )^0.5]^2 = s^2 + s^2
height of cube)^2 = s^2
(diagonal of cube)^2 = (s^2 + s^2 + s^2)
(diagonal of cube )^2 = (3 * s^2)
diagonal of cube = (3 * s^2)^0.5 = 35
(3 * s^2)^0.5 = 35
Square both sides
3s^2 = 31^2 = 1225
s^2 = 408.33
s = 40833^0.5
s = 20.2 cm
