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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
Where is trigonometric function in negative?
In the domain [0, 2*pi],sin is negative for pi < x < 2*pi
cos is negative pi/2 < x < 3*pi/2 and
tan is negative for pi/2 < x < pi and 3*pi/2 < x < pi.
Also, the same applies for all intervals obtained by adding any integer multiple of 2*pi to the bounds.
Does an angle of 1 radian stay the same if the size of the circle changes?
Yes. Angles remain the same irrespective of scale.
What is a conclusion based on evidence?
A conclusion based on evidence is called, well, a conclusion.
It could also be a deduction or a syllogism, but that is unnecessarily high-falutin, so to speak.
What is the different shape a relation from a function?
When graphed, a function has any shape so that all vertical lines will cross the graph in at most one point. A relation does not have this condition. One or more vertical lines may (not must) pass thru a relation in more points.
15 degrees of travel equal to how many hours?
The time taken will depend on the speed at which the journey is undertaken.
What is the relevance of the number 1.414 to a 45 degree angle?
The number 1.414... (square root of 2) is two times the cosine or sine of a 45 degree angle.
The reason for this is that for a 45 degree angle, the two sides are cosine and sine, they are equal, and if you solve using the Pythagorean theorem with a hypotenuse of 1, the two sides are each (21/2)/2.
How to find the chord length of a curve with radius and 2 bearings given?
Suppose the radius is r and the bearings of the two points, P and Q are p and q respectively.
Then
the coordinates of P are [r*cos(p), r*sin(p)] and
the coordinates of Q are [r*cos(q), r*sin(q)].
The distance between these two points can be found, using Pythagoras:
d2 = (xq - xp)2 + (yq - yp)2
where xp is the x-coordinate of P, etc.
You could start by spelling out the words properly so that we can read your question rather than having to decipher it.
What are practical applications of trigonometry?
To name a few, the practical applications are:
1. Acoustics
2. Architecture
3. Astronomy ( and Navigation)
4. Cartography
5. Chemistry
6. Civil Engineering
7. Computer Graphics
8. Crystallography
9. Geophysics
10. Economics (Analysis of Financial Markets)
11. medical imagining
12. Seismology
13. Phonetics
14. Probability and Statistics. and etc.
How do you verify the identity of cos θ tan θ equals sin θ?
To show that (cos tan = sin) ???
Remember that tan = (sin/cos)
When you substitute it for tan, cos tan = cos (sin/cos) = sin
QED
If ed is 8 df is 6 and ef is 10 what is the tangent ratio for e?
The triangle is right angled at D.
so tan(E) = df/ed = 6/10 = 0.6
What does a negative angle look like?
A positive or negative angle, refers to the directionthat you are measuring the angle. Not really useful in Geometry, where you're measuring angles of polygons, but in Trigonometry and Complex Numbers (especially signal analysis in Electrical Engineering) it becomes important.
In a unit circle, the convention is to measure positive angles in a counterclockwise direction starting at the positive x-axis. So negative angles are measured moving in a clockwise direction. In signal analysis, two sine waves are plotted with time on the horizontal, and intensity on the vertical. The sign of the 'angle' between the two signals represents if one signal is 'leading' ahead or 'lagging' behind the other signal.
Assuming that acceleration due to gravity is 9.8 m/sec^2, then the required height is 0.75 metres.
How do you simplify csc theta minus cot x theta times cos theta plus 1?
There can be no significant simplicfication if some of the angles are theta and others are x, so assume that all angles are x.
[csc(x) - cot(x)]*[cos(x) + 1]
=[1/sin(x) - cos(x)/sin(x)]*[cos(x) + 1]
=1/sin(x)*[1 - cos(x)]*[cos(x) + 1]
=1/sin(x)*[1 - cos2(x)]
=1/sin(x)*[sin2(x)]
= sin(x)
What number was first one followed by ten zeros was first use by Milton sirotta in 1940?
I don't know anything about Milton using this number, but 10,000,000,000 is in the USA called ten billion, in Great Britain it is 10 million million.
