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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
tan θ = sin θ / cos θ
tan θ = (y2 - y1) / (x2 - x1)
θ = tan-1((y2 - y1) / (x2 - x1))
More articulate answer:
To begin with, I will refer to the "where 0 is right it goes counter clockwise" as the 'Polar Clock'. A polar clock has 0* facing the right, 90* facing up, 180* facing left, 270* facing down, and 360* once again facing right.
In order to find the answer, we must build a right triangle using the two points (in this example 1,1 and 3,5) as the corners attached by the longest side (opposite the right angle). To find the lengths of the two shorter sides, take corresponding values of your points and subtract them. In this example, 5-1 = 4, the vertical line (y2 - y1), and 3-1 = 2, the horizontal line (x1 - x2).
Once you know the value of these two sides, a trigonometric function can be used to determine the position on the polar clock of the longest side (between the two points). The function Tangent (tan) is equal to the opposite side of the triangle divided by the adjacent side of the triangle. In this example, where θ is the unknown angle, tan(θ) = 4/3.
In order to solve this in a timely fashion, it is recommended to use a calculator. In order to use a calculator, you must change the notation from [tan(θ) = 4/3] to [θ = tan-1(4/3)]. The easiest way to describe tan-1 is that it is the opposite of tan. To find the angle, simply type [tan-1(4/3)] into any suitable calculator.
As listed in the first example, the formula is as follows:
θ = tan-1((y2 - y1) / (x2 - x1))
What is the complex conjugate of a plus bi?
The complex conjugate of a+bi is a-bi.
This is written as z* where z is a complex number.
ex.
z = a+bi
z* = a-bi
r = 3+12i
r* = 3-12i
s = 5-6i
s* = 5+6i
t = -3+7i = 7i-3
t* = -3-7i = -(3+7i)
Can you differentiate the following function fx equals 9 times x to the 2nd power times sinxtanx?
f(x)=9x2(sin x * tan x)
f'(x)= 18x(sin x * tan x) + 9x2(cos x * tan x + sec2x * sin x)
there might be some identities that allow that to be simplified to look prettier
Can you use the law of sines if 3 sides are given?
Yes, but you would need to know a degree measure too.
[Sin(A)/a] = [Sin(B)/b] = [Sin(C)/c]
[a/Sin(A)] = [b/Sin(B)] = [c/Sin(C)]
When you log transform a power function the resulting function is a straight line?
Yes, the resulting function is a straight line.
This is the source:http://www.mathbench.umd.edu/mod207_scaling/page10.htm
How do you use sum and difference identities to find the exact value of sin75?
trun it into sin( 45 + 30 ).
sin ( 45 + 30 ) = sin30cos45 + cos30sin45
sin30cos45 + cos30sin45 = (1/2)((sqrroot2)/2) + ((sqrroot3)/2)((sqrroot2)/2)
(1/2)((sqrroot2)/2) +((sqrroot3)/2)((sqrroot2)/2)=((sqrroot2)/4) + ((sqrroot6)/4)
((sqrroot2)/4) + ((sqrroot6)/4)= ((sqrroot2) + (sqrroot6)) /4
What is formula of quadrantal spherical triangle?
There is no single formula: there are several, depending on what information you have and what you wish to know.
For volume of a cube, V=S3
For surface area, A=6S2
S is the length of one side.
A zero sided shape technically isn't a shape. The definition of a shape is a closed figure with at least one points evenly going to another point. A circle is the figure with the least amount of sides because it has one side, which is considered the circumference of the circle.
What is the value of inverse of hyperbolic sin 1 in trigonometry?
It is ln[1+sqrt(2)] = 0.8814, approx.
How do you figure out the coordinates of the vortex are?
A vortex is a spinning or whirling mass of fluid: liquid or gas. Typical examples are a whirlpool or whirlwind or hurricane. These are extended shapes and do not have a single set of coordinates.
Where does the word 'cocktail' come from?
It is a slurred word for coquetier. It is said in the 1800's the word eventually became slurred to cocktail.
coquetier: A classic egg cup, the French word for which was once thought to be the origin, through mispronunciation, of the word "cocktail".
Where did the word honky come from?
There is a fairly lengthy discussion of this at http://www.phrases.org.uk/bulletin_board/13/messages/194.html.
I have no idea what a "corrandant" is, but I suspect that the answer to the question is NO.
