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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
How do you prove one - tan square x divided by one plus tan square xequal to cos two x?
(1 - tan2x)/(1 + tan2x) = (1 - sin2x/cos2x)/(1 + sin2x/cos2x)
= (cos2x - sin2x)/(cos2x + sin2x)
= (cos2x - sin2x)/1 = (cos2x - sin2x) = cos(2x)
The simplistic solution is as follows:
The component of the force in the horizontal plane is 41.8*cos(25) = 37.9 N.
The distance travelled is pi*18 metres so work done = 37.9*18 = 2142 Joules.
What are the answers to law of cosines in A plus?
The law of cosines can be written in one form as: c2 = a2 + b2 - 2abCos C.
Without 3 of the 4 variables being given, there is no way to answer this question.
How do you find the lengths of a rhombus?
A rhombus is a 4 sided quadrilateral whose sides are equal in lengths and can be measured with a ruler.
I assume you mean sign and not sine!
The answer is that there is no best sign. I am sorry to have to disillusion you but in reality star signs are nonsense. They are just a small number of stars that seem to be close together and form some shape. Some of the stars are close to the earth and the solar system whereas others, in the same star sign, are millions of light years further away. There is, therefore, no association between the stars that make up a star sign.
What are the different types a of set?
A null set,
a finite set,
a countable infinite set and
an uncountably infinite set.
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 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)]
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
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.
