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 deal with advanced level maths trignonetry?
You study, understand and practice - as with any other subject.
What is the value of x if a is 28 and the b is 14?
There is insufficient information in the question to properly answer it. You need to show an equation that relates x, a, and b. Please restate the question.
What is the vertex of the angle DEF?
The letter E would be at the vertex. The two lines enclosing the angle E would be ED and EF. Usually, to make it quite clear we would call angle E by the description "angle DEF or angle FED (they are the same angle).
Find all angles in the interval 0 360 satisfying the equation cos theta equals 0.7902?
cos(theta) = 0.7902
arcos(0.7902) = theta
= 38 degrees
you find complimentary angles
How do you figure asphalt tons to sq ft?
Approximately 721 Kg/CuM or 1586 pounds per cubic meter or 121 pounds per cubic foot or 20 pounds per square foot of 2".
This IS crushed Asphalt. There or various types.
source- http://www.contractortalk.com/f83/weight-asphalt-46232/
so one ton of asphalt would make 100 square feet of 2" thick pavement.
Divide 4 square root 6 by square root 3?
What are the ways to name an angle?
The VERTEX of the angle is always in the middle... so if it is angle ABC, then you can also name it CBA as long as the vertex letter is in the middle, usually there are only 2 ways to name an angle.
Also, if there aren't any other angles with the same vertex, you can just call angle ABC, angle B.
Summary: If you have an angle:- the vertex is labeled B, the others are A and C. what can you call the angle?
- Answer: ABC,CBA or B
What is the formula for finding the volume of a triangular prism?
The formula to find the area of a triangular prism is 1/2 bhl, where b represents the length of the base of the triangle, h is the height of the triangle, and l is the length between the triangles.
Where did the word character come from?
The word character can be dated back to the ancient Greek word kharackter. This later developed into the French word charatre.
What is the meaning of powers and roots in complex numbers?
The meanings are the same but getting the answers use different rules. Ex:
1. None complex-(x+y)^2=xx+yy+2xy and is a family of parallel lines.
2. Complex-(x+iy)^2 Now notice the "i operator" and how it is used in the computation. (x+iy)(x+iy)=xx+i2xy+iiyy. Now i=(-1)^.5, so ii=-1 and so we have
xx-yy+i2xy. If we graph this out, we get families of parabolas at right angles to
each other. The (xx-yy) are the real and at right angles to the i2xy, the imaginaries.
Maybe somebody else can tackle the roots.
What is the definition of a plane in geometry?
In geometry, a plane is a flat two-dimensional "surface" (similar to a sheet of paper, but with no thickness and no finite length or width). A plane is defined by three points, each of which forms a line with the other two points within the plane. In three dimensions, the simplest version of a plane would include all of the points with any x and y value that contain the same value for z.
A plane is a flat surface or a 2-dimensional object, stretching to infinity in all directions.
What is the approximate instantaneous voltage at 37 degrees on a 169 Vp sine wave?
169sin(37*) = 101.7067389 (round to 101.7)
*=degrees (function found on TI Calculators under "Angle") you can not do like that generally VpSIN(Wt
How are geometry and trigonometry different?
Geometry is the study of spatial properties (shapes, sizes, etc.), while trigonometry is the study of triangles and the relationships between angles and lengths.
How do you find the angle of trajectory to hit a point at a different height with a set velocity?
How do you find the angle of trajectory to hit a point at a different height with a set velocity? You will need to know the horizontal distance to the point!! Think about it. The farther it is to the point, the greater the velocity has to be. The maximum distance for any set velocity is at an angle of 45º. If the velocity is too small, the object will not reach the point no matter even at 45º. So I will use Dh to be the horizontal distance to the point.
I will send you this tonight, but tomorrow I will input values for the velocity, the different height, and the distance horizontal. I will send it again if I find any mistakes.
V = set velocity
Different height =Distance vertical =Dv
Eq. #1 Total distance moved = Vi* t + ½ * at^2
When an object is thrown up into the air, a = acceleration due to gravity =g = -9.8m/s^2
Eq. #2 Distance vertical = V * sin θ* time - (½ * 9.8 * t^2)
½ * 9.8 = 4.9
You can substitute the values of Dv into Eq. #3, to reduce the number of variables. However, I will continue to derive the total equation for the angle.
Eq. #3 Dv = (V * sin θ* t) - (4.9 * t^2)
Range = Distance horizontal = Dh
Eq. #4 Distance horizontal = V * cos θ * time
You can substitute the values of Dh into Eq. #5, to reduce the number of variables. However, I will continue to derive the total equation for the angle.
Eq. #5 Dh = V * cos θ * t
If we solve both equations for V and set them equal to each other, we can solve for t. The time is the same for the Dh and Dv, because these distances are the same for the same one and only object.
From Eq. #3, Dv = (V * sin θ* t) - (4.9 * t^2)
Eq. #6 Dv + (4.9 * t^2) = V * sin θ* t
Eq. #7 V = [ Dv + (4.9 * t^2) ] ÷ (sin θ* t )
From Eq. #5 Dh= V * cos θ * t
Eq. #8 V = Dh ÷ (cos θ * t)
We have 2 equations equal to V. set them equal to each other.
Eq. #9 [ Dv + (4.9 * t^2) ] ÷ (sin θ* t ) = Dh ÷ (cos θ * t)
You may not believe this, but the equation above is a proportion!!
Cross multiply
[ Dv + (4.9 * t^2) ] * (cos θ * t) =Dh * (sin θ * t)
I see factor of t on both sides. Cancel it out.
Eq. #10 [ Dv + (4.9 * t^2) ] * (cos θ) =Dh * (sin θ)
I can multiply (cos θ) * Dv + (4.9 * t^2) ] =
Eq. #11 (Dv * (cos θ) + (cos θ) * 4.9 * t^2) = Dh * (sin θ)
I need t on the left side
Eq. #12 (cos θ) * 4.9 * t^2) = Dh * (sin θ) - (Dv * (cos θ)
Now we will divide both sides by (cos θ * 4.9)
Eq. #13 t^2 = (Dh *sin θ - Dv * cos θ) ÷ (cos θ * 4.9)
You know the value Dh and Dv in Eq. #13.
Solve for t = [(Dh *sin θ - Dv * cos θ) ÷ (cos θ * 4.9)]^0.5
(Square root of t^2)
Eq. #14 t = [(Dh *sin θ - Dv * cos θ) ÷ (cos θ * 4.9)]^0.5
Now substitute the value of Dh, V, and t into the Eq. #5 and find cosθ.
Eq. #5 Dh = V * cos θ * t
Eq. #15 cos θ = Dh ÷ (V * t)
cos θ = Dh ÷ (V * t)
Eq. #16 cos θ = Dh ÷ [ V * [(Dh * sin θ - Dv * cos θ) ÷ (cos θ * 4.9)]^0.5]
Eq. #17 θ = cos^-1 [Dh ÷ [ V * [(Dh * sin θ - Dv * cos θ) ÷ (cos θ * 4.9)]^0.5] ]
The motion of the baseball is parabolic. So, the ball was at the different height twice as it moved along the parabola. The different height would be occurs at 2 places as the baseball follows the parabolic path, once on the way up and once on the way down. The value of the distance horizontal determines the answer; up or down A short Dh would produce a small value of t and a large value of Dh would produce a large value of t.
From Eq. #9 [ Dv + (4.9 * t^2) ] ÷ (sin θ * t ) = Dh ÷ (cos θ * t), we can see that Dh only affects time.
That is why Dh is so critical to the answer for θ.
How many edges are in a octohedron?
An octahedron (not octohedron) is a polyhedron with 8 faces. There are 257 distinct topological octahedrons and the number of vertices and edges varies.
For example, an octahedron in the form of a quadrilateral based bipyramid has only 12 edges whereas a hexagonal prism has 18.
How do you learn cos sin and tan formulas?
I guess you are meaning the standard trigonometric ratios regarding the cos/sin/tan of angles in a right angled triangle.
I was taught this little rhyme:
Two Old Arabs
Soft Of Heart
Coshed Andy Hatchett
Using the initial letters of each of the words:
T O A
S O H
C A H
Gives:
Tan = Opposite / Adjacent
Sin = Opposite / Hypotenuse
Cos = Adjacent / Hypotenuse
Later I met the nonsense word SOHCAHTOA (pronounced So-ka-toe-ah or Sock-a-toe-ah) in which the letters are the ratios as before and which is slightly more useful in that in that order it gives a reminder that Sin/Cos = Tan. However, it does require being able to spell the unusual "word".
it is a shape with 4 parellel lines and it slanted on one side
How is finding the area of a rhombus similar to finding the area of a kite?
Because in both cases their diagonals cross at right angles
So their areas are: 0.5*product of diagonals
