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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
What do you think is true of the square roots of a complex number?
I posted an answer about cube roots of complex numbers. The same info can be applied to square roots. (see related links)
In a right triangle, the tangent of an angle other than the right angle is the ratio of the length of the side opposite the angle over the length of the side adjacent to the angle (the side between the angle and the right angle).
Why are there so many ways to prove the pythagorean theorem?
Because in a right angle triangle the square of its hypotenuse is always equal to the sum of each side squared.
How do you determine the radius or degrees of an arc knowing only the length and rise?
If the length is L, the rise is R and the angle is x degrees, then
sin(x) = R/L so that x = arcsin(R/L) or sin-1(R/L)
How o find hypodenuse length of a right angle?
Use Pythagoras' theorem of a2+b2 = c2 whereas a and b are the sides of a right angle triangle with c being its hypotenuse or longest side.
tan(sec-1(5/2))
Start with sec-1(5/2), which is the same as cos-1(2/5). So there is a right triangle, where the side adjacent the angle is 2, and the hypotenuse is 5. Solve for the opposite side: sqrt(5² - 2²) = sqrt(21).
Tangent is opposite over adjacent, so the answer is sqrt(21)/2
Geometry was developed by ancient civilizations in Egypt, Mesopotamia, and the Indus Valley, among others. It arose out of the need to calculate measurements for purposes of construction, surveying, and navigation.
What are a score or more facts about angles in geometry?
1 Angles are measured in degrees, minutes and seconds
2 Angles can be measured with a protractor
3 Angles can be found using trigonometry
4 Angles in a regular polygon are equal
5 Angles around a circle is a full rotation of 360 degrees
6 Angles around a point add up to 360 degrees
7 Angles in a polygon are: (n-2)*180 whereas 'n' is the number of its sides
8 Angles greater than 0 but less than 90 degrees are acute
9 Angle of 90 degrees is a right angle
10 Angles greater than 90 but less than 180 degrees are obtuse
11 Angles greater than 180 degrees are reflex
12 Angle of elevation is looking up at an object
13 Angle of depression is looking down at an object
14 Angles are formed when a transversal line cuts through parallel lines
15 Angles of 90 degrees are formed when perpendicular lines meet
16 Angles can be bisected with a compass and a straight edge
17 Angle of the tangent of a right angle triangle is: opposite/adjacent
18 Angle of the sine of a right angle triangle is: opposite/hypotenuse
19 Angle of the cosine of a right angle triangle is: adjacent/hypotenuse
20 Angle of rotation is used in a transformation on the Cartesian plane
21 Angles that meet at 180 degrees on a straight line are supplementary
22 Angles that form a right angle are complementary
23 Angles of 360 degrees once represented a year in ancient Babylonian
24 Angles of 518,400 degrees are passed by the minute hand of a clock in a day and 31,104,000 degrees by its second hand in 24 hours
How do you do compositions of functions backwards?
I am not entirely sure what you mean; in general, if you change the order of composition, you will usually get different results: f(g(x)) is usually NOT equal to g(f(x)).
What is the exact value of 6009252126?
Six billion, nine million, two hundred fifty-two thousand, one hundered and twenty-six. It is inappropriate to erase other's answers if you are improving an answer. i think he wanted to put a decimal in front of the answer. If that is so it is the square root of 13/6. I used a trial and error method to find the answer.
In cartesian coordinate system what is the coordinates?
The coordinates of a point in the n-space are ordered sets of n numbers, each of which measures the distance of the point from the origin along the n-axes in a given order.
Do plants need sugar in fertilizers?
No, plants can make their own sugars by photosynthesis. The purpose of fertilizers is to provide elements such as nitrogen which the plant cannot take in from air or water.
It is impossible for the shadow of a 6' man to be 3' long in Norway. In order for this to happen, the elevation of the Sun would have to be 63 degrees. Since Norway is a minimum of 57 degrees latitude, even at the summer solstice (+22.5) the elevation of the Sun would only be 53.5. The question has no answer. Please restate the question.
How do you solve complicated trigonometry questions?
You make them less complicated by using trigonometric relationships and identities, and then solve the less complicated questions.
There is no simple answer. The number of simulations that you can do depends on the cost - in terms of time and resources - that each simulation takes.
Whether or not the data are meaningful depends on the variability of the outcomes.
Why do people say that chemistry is very mathematical if it has more concepts than math?
It is probably to emphasise the fact that chemistry is not a purely practical subject. There can be a misconception that chemistry is mostly mixing chemicals and seeing what happens. However chemists use mathematics routinely as part of their science. However this is not unique to chemistry. All science is very mathematical.
It is a set of mathematical operations which have to be carried out, using some measures of an object and possibly mathematical constants, to find the total amount of space which an object occupies.
